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Finding the Fourth Proportional to 659.38, 986.16 and 586.77

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Solution

The fourth proportional to 659.38, 986.16 and 586.77 is: 877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.38 : 986.16 = 586.77 : x
  2. Step 2: Convert to fraction form
    659.38/986.16 = 586.77/x
  3. Step 3: Cross multiply
    659.38x = 986.16 × 586.77
  4. Step 4: Simplify right side
    659.38x = 578,649.10
  5. Step 5: Solve for x
    x = 578,649.10/659.38
  6. Step 6: Final answer
    x = 877.57

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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.