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Finding the Fourth Proportional to 922.50, 1,384.16 and 345.78

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Solution

The fourth proportional to 922.50, 1,384.16 and 345.78 is: 518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.50 : 1,384.16 = 345.78 : x
  2. Step 2: Convert to fraction form
    922.50/1,384.16 = 345.78/x
  3. Step 3: Cross multiply
    922.50x = 1,384.16 × 345.78
  4. Step 4: Simplify right side
    922.50x = 478,613.12
  5. Step 5: Solve for x
    x = 478,613.12/922.50
  6. Step 6: Final answer
    x = 518.82

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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.