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Finding the Fourth Proportional to 718.30, 990.93 and 521.74

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Solution

The fourth proportional to 718.30, 990.93 and 521.74 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.30 : 990.93 = 521.74 : x
  2. Step 2: Convert to fraction form
    718.30/990.93 = 521.74/x
  3. Step 3: Cross multiply
    718.30x = 990.93 × 521.74
  4. Step 4: Simplify right side
    718.30x = 517,007.82
  5. Step 5: Solve for x
    x = 517,007.82/718.30
  6. Step 6: Final answer
    x = 719.77

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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.