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Finding the Fourth Proportional to 687.17, 1,030.87 and 340.52

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Solution

The fourth proportional to 687.17, 1,030.87 and 340.52 is: 510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.17 : 1,030.87 = 340.52 : x
  2. Step 2: Convert to fraction form
    687.17/1,030.87 = 340.52/x
  3. Step 3: Cross multiply
    687.17x = 1,030.87 × 340.52
  4. Step 4: Simplify right side
    687.17x = 351,031.85
  5. Step 5: Solve for x
    x = 351,031.85/687.17
  6. Step 6: Final answer
    x = 510.84

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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.