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Finding the Fourth Proportional to 717.18, 989.58 and 520.77

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Solution

The fourth proportional to 717.18, 989.58 and 520.77 is: 718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.18 : 989.58 = 520.77 : x
  2. Step 2: Convert to fraction form
    717.18/989.58 = 520.77/x
  3. Step 3: Cross multiply
    717.18x = 989.58 × 520.77
  4. Step 4: Simplify right side
    717.18x = 515,343.58
  5. Step 5: Solve for x
    x = 515,343.58/717.18
  6. Step 6: Final answer
    x = 718.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.