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Finding the Fourth Proportional to 615.36, 923.10 and 458.52

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Solution

The fourth proportional to 615.36, 923.10 and 458.52 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.36 : 923.10 = 458.52 : x
  2. Step 2: Convert to fraction form
    615.36/923.10 = 458.52/x
  3. Step 3: Cross multiply
    615.36x = 923.10 × 458.52
  4. Step 4: Simplify right side
    615.36x = 423,259.81
  5. Step 5: Solve for x
    x = 423,259.81/615.36
  6. Step 6: Final answer
    x = 687.82

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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.