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Finding the Fourth Proportional to 922.15, 1,381.10 and 556.13

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Solution

The fourth proportional to 922.15, 1,381.10 and 556.13 is: 832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.15 : 1,381.10 = 556.13 : x
  2. Step 2: Convert to fraction form
    922.15/1,381.10 = 556.13/x
  3. Step 3: Cross multiply
    922.15x = 1,381.10 × 556.13
  4. Step 4: Simplify right side
    922.15x = 768,071.82
  5. Step 5: Solve for x
    x = 768,071.82/922.15
  6. Step 6: Final answer
    x = 832.92

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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.