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Finding the Fourth Proportional to 655.76, 985.88 and 520.48

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Solution

The fourth proportional to 655.76, 985.88 and 520.48 is: 782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 985.88 = 520.48 : x
  2. Step 2: Convert to fraction form
    655.76/985.88 = 520.48/x
  3. Step 3: Cross multiply
    655.76x = 985.88 × 520.48
  4. Step 4: Simplify right side
    655.76x = 513,130.82
  5. Step 5: Solve for x
    x = 513,130.82/655.76
  6. Step 6: Final answer
    x = 782.50

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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.