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Finding the Fourth Proportional to 922.72, 1,384.20 and 337.63

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Solution

The fourth proportional to 922.72, 1,384.20 and 337.63 is: 506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,384.20 = 337.63 : x
  2. Step 2: Convert to fraction form
    922.72/1,384.20 = 337.63/x
  3. Step 3: Cross multiply
    922.72x = 1,384.20 × 337.63
  4. Step 4: Simplify right side
    922.72x = 467,347.45
  5. Step 5: Solve for x
    x = 467,347.45/922.72
  6. Step 6: Final answer
    x = 506.49

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Half scale
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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.