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Finding the Fourth Proportional to 657.66, 986.51 and 527.06

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Solution

The fourth proportional to 657.66, 986.51 and 527.06 is: 790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.66 : 986.51 = 527.06 : x
  2. Step 2: Convert to fraction form
    657.66/986.51 = 527.06/x
  3. Step 3: Cross multiply
    657.66x = 986.51 × 527.06
  4. Step 4: Simplify right side
    657.66x = 519,949.96
  5. Step 5: Solve for x
    x = 519,949.96/657.66
  6. Step 6: Final answer
    x = 790.61

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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.