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Finding the Fourth Proportional to 655.68, 987.36 and 584.16

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Solution

The fourth proportional to 655.68, 987.36 and 584.16 is: 879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.68 : 987.36 = 584.16 : x
  2. Step 2: Convert to fraction form
    655.68/987.36 = 584.16/x
  3. Step 3: Cross multiply
    655.68x = 987.36 × 584.16
  4. Step 4: Simplify right side
    655.68x = 576,776.22
  5. Step 5: Solve for x
    x = 576,776.22/655.68
  6. Step 6: Final answer
    x = 879.66

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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.