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Finding the Fourth Proportional to 1,123.50, 1,685.25 and 392.90

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Solution

The fourth proportional to 1,123.50, 1,685.25 and 392.90 is: 589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.50 : 1,685.25 = 392.90 : x
  2. Step 2: Convert to fraction form
    1,123.50/1,685.25 = 392.90/x
  3. Step 3: Cross multiply
    1,123.50x = 1,685.25 × 392.90
  4. Step 4: Simplify right side
    1,123.50x = 662,138.94
  5. Step 5: Solve for x
    x = 662,138.94/1,123.50
  6. Step 6: Final answer
    x = 589.35

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Double scale
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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.