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Finding the Fourth Proportional to 687.47, 947.62 and 521.01

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Solution

The fourth proportional to 687.47, 947.62 and 521.01 is: 718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.47 : 947.62 = 521.01 : x
  2. Step 2: Convert to fraction form
    687.47/947.62 = 521.01/x
  3. Step 3: Cross multiply
    687.47x = 947.62 × 521.01
  4. Step 4: Simplify right side
    687.47x = 493,719.50
  5. Step 5: Solve for x
    x = 493,719.50/687.47
  6. Step 6: Final answer
    x = 718.17

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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.