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Finding the Fourth Proportional to 815.84, 1,125.64 and 566.88

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Solution

The fourth proportional to 815.84, 1,125.64 and 566.88 is: 782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,125.64 = 566.88 : x
  2. Step 2: Convert to fraction form
    815.84/1,125.64 = 566.88/x
  3. Step 3: Cross multiply
    815.84x = 1,125.64 × 566.88
  4. Step 4: Simplify right side
    815.84x = 638,102.80
  5. Step 5: Solve for x
    x = 638,102.80/815.84
  6. Step 6: Final answer
    x = 782.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.