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Finding the Fourth Proportional to 743.40, 1,024.16 and 638.14

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Solution

The fourth proportional to 743.40, 1,024.16 and 638.14 is: 879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,024.16 = 638.14 : x
  2. Step 2: Convert to fraction form
    743.40/1,024.16 = 638.14/x
  3. Step 3: Cross multiply
    743.40x = 1,024.16 × 638.14
  4. Step 4: Simplify right side
    743.40x = 653,557.46
  5. Step 5: Solve for x
    x = 653,557.46/743.40
  6. Step 6: Final answer
    x = 879.15

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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.