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Finding the Fourth Proportional to 662.84, 915.26 and 592.77

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Solution

The fourth proportional to 662.84, 915.26 and 592.77 is: 818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.84 : 915.26 = 592.77 : x
  2. Step 2: Convert to fraction form
    662.84/915.26 = 592.77/x
  3. Step 3: Cross multiply
    662.84x = 915.26 × 592.77
  4. Step 4: Simplify right side
    662.84x = 542,538.67
  5. Step 5: Solve for x
    x = 542,538.67/662.84
  6. Step 6: Final answer
    x = 818.51

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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.