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Finding the Fourth Proportional to 1,053.10, 1,580.19 and 437.32

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Solution

The fourth proportional to 1,053.10, 1,580.19 and 437.32 is: 656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.10 : 1,580.19 = 437.32 : x
  2. Step 2: Convert to fraction form
    1,053.10/1,580.19 = 437.32/x
  3. Step 3: Cross multiply
    1,053.10x = 1,580.19 × 437.32
  4. Step 4: Simplify right side
    1,053.10x = 691,048.69
  5. Step 5: Solve for x
    x = 691,048.69/1,053.10
  6. Step 6: Final answer
    x = 656.20

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Double scale
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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.