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Finding the Fourth Proportional to 698.19, 962.95 and 521.76

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Solution

The fourth proportional to 698.19, 962.95 and 521.76 is: 719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.19 : 962.95 = 521.76 : x
  2. Step 2: Convert to fraction form
    698.19/962.95 = 521.76/x
  3. Step 3: Cross multiply
    698.19x = 962.95 × 521.76
  4. Step 4: Simplify right side
    698.19x = 502,428.79
  5. Step 5: Solve for x
    x = 502,428.79/698.19
  6. Step 6: Final answer
    x = 719.62

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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.