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Finding the Fourth Proportional to 457.87, 689.34 and 314.53

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Solution

The fourth proportional to 457.87, 689.34 and 314.53 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.87 : 689.34 = 314.53 : x
  2. Step 2: Convert to fraction form
    457.87/689.34 = 314.53/x
  3. Step 3: Cross multiply
    457.87x = 689.34 × 314.53
  4. Step 4: Simplify right side
    457.87x = 216,818.11
  5. Step 5: Solve for x
    x = 216,818.11/457.87
  6. Step 6: Final answer
    x = 473.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.