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Finding the Fourth Proportional to 687.61, 1,030.92 and 358.48

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Solution

The fourth proportional to 687.61, 1,030.92 and 358.48 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.61 : 1,030.92 = 358.48 : x
  2. Step 2: Convert to fraction form
    687.61/1,030.92 = 358.48/x
  3. Step 3: Cross multiply
    687.61x = 1,030.92 × 358.48
  4. Step 4: Simplify right side
    687.61x = 369,564.20
  5. Step 5: Solve for x
    x = 369,564.20/687.61
  6. Step 6: Final answer
    x = 537.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.