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Finding the Fourth Proportional to 1,037.63, 1,432.38 and 688.52

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Solution

The fourth proportional to 1,037.63, 1,432.38 and 688.52 is: 950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.63 : 1,432.38 = 688.52 : x
  2. Step 2: Convert to fraction form
    1,037.63/1,432.38 = 688.52/x
  3. Step 3: Cross multiply
    1,037.63x = 1,432.38 × 688.52
  4. Step 4: Simplify right side
    1,037.63x = 986,215.12
  5. Step 5: Solve for x
    x = 986,215.12/1,037.63
  6. Step 6: Final answer
    x = 950.45

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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.