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Finding the Fourth Proportional to 657.54, 987.12 and 646.56

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Solution

The fourth proportional to 657.54, 987.12 and 646.56 is: 970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.54 : 987.12 = 646.56 : x
  2. Step 2: Convert to fraction form
    657.54/987.12 = 646.56/x
  3. Step 3: Cross multiply
    657.54x = 987.12 × 646.56
  4. Step 4: Simplify right side
    657.54x = 638,232.31
  5. Step 5: Solve for x
    x = 638,232.31/657.54
  6. Step 6: Final answer
    x = 970.64

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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.