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Finding the Fourth Proportional to 1,037.26, 1,430.68 and 688.42

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Solution

The fourth proportional to 1,037.26, 1,430.68 and 688.42 is: 949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.26 : 1,430.68 = 688.42 : x
  2. Step 2: Convert to fraction form
    1,037.26/1,430.68 = 688.42/x
  3. Step 3: Cross multiply
    1,037.26x = 1,430.68 × 688.42
  4. Step 4: Simplify right side
    1,037.26x = 984,898.13
  5. Step 5: Solve for x
    x = 984,898.13/1,037.26
  6. Step 6: Final answer
    x = 949.52

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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.