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Finding the Fourth Proportional to 923.74, 1,385.95 and 430.39

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Solution

The fourth proportional to 923.74, 1,385.95 and 430.39 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.74 : 1,385.95 = 430.39 : x
  2. Step 2: Convert to fraction form
    923.74/1,385.95 = 430.39/x
  3. Step 3: Cross multiply
    923.74x = 1,385.95 × 430.39
  4. Step 4: Simplify right side
    923.74x = 596,497.80
  5. Step 5: Solve for x
    x = 596,497.80/923.74
  6. Step 6: Final answer
    x = 645.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.