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Finding the Fourth Proportional to 1,038.89, 1,432.28 and 706.76

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Solution

The fourth proportional to 1,038.89, 1,432.28 and 706.76 is: 974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.89 : 1,432.28 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,038.89/1,432.28 = 706.76/x
  3. Step 3: Cross multiply
    1,038.89x = 1,432.28 × 706.76
  4. Step 4: Simplify right side
    1,038.89x = 1,012,278.19
  5. Step 5: Solve for x
    x = 1,012,278.19/1,038.89
  6. Step 6: Final answer
    x = 974.38

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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.