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Finding the Fourth Proportional to 687, 947.52 and 603.93

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Solution

The fourth proportional to 687, 947.52 and 603.93 is: 832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    687 : 947.52 = 603.93 : x
  2. Step 2: Convert to fraction form
    687/947.52 = 603.93/x
  3. Step 3: Cross multiply
    687x = 947.52 × 603.93
  4. Step 4: Simplify right side
    687x = 572,235.75
  5. Step 5: Solve for x
    x = 572,235.75/687
  6. Step 6: Final answer
    x = 832.95

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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.