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Finding the Fourth Proportional to 647.68, 972.89 and 493.08

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Solution

The fourth proportional to 647.68, 972.89 and 493.08 is: 740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 972.89 = 493.08 : x
  2. Step 2: Convert to fraction form
    647.68/972.89 = 493.08/x
  3. Step 3: Cross multiply
    647.68x = 972.89 × 493.08
  4. Step 4: Simplify right side
    647.68x = 479,712.60
  5. Step 5: Solve for x
    x = 479,712.60/647.68
  6. Step 6: Final answer
    x = 740.66

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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.