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Finding the Fourth Proportional to 647.24, 974.88 and 602.16

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Solution

The fourth proportional to 647.24, 974.88 and 602.16 is: 906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 974.88 = 602.16 : x
  2. Step 2: Convert to fraction form
    647.24/974.88 = 602.16/x
  3. Step 3: Cross multiply
    647.24x = 974.88 × 602.16
  4. Step 4: Simplify right side
    647.24x = 587,033.74
  5. Step 5: Solve for x
    x = 587,033.74/647.24
  6. Step 6: Final answer
    x = 906.98

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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.