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Finding the Fourth Proportional to 1,057.01, 1,585.52 and 287.51

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Solution

The fourth proportional to 1,057.01, 1,585.52 and 287.51 is: 431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.01 : 1,585.52 = 287.51 : x
  2. Step 2: Convert to fraction form
    1,057.01/1,585.52 = 287.51/x
  3. Step 3: Cross multiply
    1,057.01x = 1,585.52 × 287.51
  4. Step 4: Simplify right side
    1,057.01x = 455,848.22
  5. Step 5: Solve for x
    x = 455,848.22/1,057.01
  6. Step 6: Final answer
    x = 431.26

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.