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Finding the Fourth Proportional to 1,150.02, 1,586.51 and 730.51

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Solution

The fourth proportional to 1,150.02, 1,586.51 and 730.51 is: 1,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.02 : 1,586.51 = 730.51 : x
  2. Step 2: Convert to fraction form
    1,150.02/1,586.51 = 730.51/x
  3. Step 3: Cross multiply
    1,150.02x = 1,586.51 × 730.51
  4. Step 4: Simplify right side
    1,150.02x = 1,158,961.42
  5. Step 5: Solve for x
    x = 1,158,961.42/1,150.02
  6. Step 6: Final answer
    x = 1,007.78

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.