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Finding the Fourth Proportional to 687.04, 947.84 and 425.12

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Solution

The fourth proportional to 687.04, 947.84 and 425.12 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.04 : 947.84 = 425.12 : x
  2. Step 2: Convert to fraction form
    687.04/947.84 = 425.12/x
  3. Step 3: Cross multiply
    687.04x = 947.84 × 425.12
  4. Step 4: Simplify right side
    687.04x = 402,945.74
  5. Step 5: Solve for x
    x = 402,945.74/687.04
  6. Step 6: Final answer
    x = 586.50

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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.