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Finding the Fourth Proportional to 617.14, 924.70 and 494.14

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Solution

The fourth proportional to 617.14, 924.70 and 494.14 is: 740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.14 : 924.70 = 494.14 : x
  2. Step 2: Convert to fraction form
    617.14/924.70 = 494.14/x
  3. Step 3: Cross multiply
    617.14x = 924.70 × 494.14
  4. Step 4: Simplify right side
    617.14x = 456,931.26
  5. Step 5: Solve for x
    x = 456,931.26/617.14
  6. Step 6: Final answer
    x = 740.40

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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.