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Finding the Fourth Proportional to 615.39, 922.47 and 564.63

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Solution

The fourth proportional to 615.39, 922.47 and 564.63 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.39 : 922.47 = 564.63 : x
  2. Step 2: Convert to fraction form
    615.39/922.47 = 564.63/x
  3. Step 3: Cross multiply
    615.39x = 922.47 × 564.63
  4. Step 4: Simplify right side
    615.39x = 520,854.24
  5. Step 5: Solve for x
    x = 520,854.24/615.39
  6. Step 6: Final answer
    x = 846.38

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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.