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Finding the Fourth Proportional to 1,310.10, 1,807.49 and 742.87

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Solution

The fourth proportional to 1,310.10, 1,807.49 and 742.87 is: 1,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.10 : 1,807.49 = 742.87 : x
  2. Step 2: Convert to fraction form
    1,310.10/1,807.49 = 742.87/x
  3. Step 3: Cross multiply
    1,310.10x = 1,807.49 × 742.87
  4. Step 4: Simplify right side
    1,310.10x = 1,342,733.69
  5. Step 5: Solve for x
    x = 1,342,733.69/1,310.10
  6. Step 6: Final answer
    x = 1,024.91

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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.