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Finding the Fourth Proportional to 923.18, 1,385.52 and 460.94

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Solution

The fourth proportional to 923.18, 1,385.52 and 460.94 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.18 : 1,385.52 = 460.94 : x
  2. Step 2: Convert to fraction form
    923.18/1,385.52 = 460.94/x
  3. Step 3: Cross multiply
    923.18x = 1,385.52 × 460.94
  4. Step 4: Simplify right side
    923.18x = 638,641.59
  5. Step 5: Solve for x
    x = 638,641.59/923.18
  6. Step 6: Final answer
    x = 691.78

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1.5x scale

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.