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Finding the Fourth Proportional to 459.60, 689.40 and 315.42

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Solution

The fourth proportional to 459.60, 689.40 and 315.42 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.60 : 689.40 = 315.42 : x
  2. Step 2: Convert to fraction form
    459.60/689.40 = 315.42/x
  3. Step 3: Cross multiply
    459.60x = 689.40 × 315.42
  4. Step 4: Simplify right side
    459.60x = 217,450.55
  5. Step 5: Solve for x
    x = 217,450.55/459.60
  6. Step 6: Final answer
    x = 473.13

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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.