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Finding the Fourth Proportional to 624, 940.80 and 497.28

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Solution

The fourth proportional to 624, 940.80 and 497.28 is: 749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 940.80 = 497.28 : x
  2. Step 2: Convert to fraction form
    624/940.80 = 497.28/x
  3. Step 3: Cross multiply
    624x = 940.80 × 497.28
  4. Step 4: Simplify right side
    624x = 467,841.02
  5. Step 5: Solve for x
    x = 467,841.02/624
  6. Step 6: Final answer
    x = 749.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.