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Finding the Fourth Proportional to 459.15, 689.18 and 312.91

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Solution

The fourth proportional to 459.15, 689.18 and 312.91 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.15 : 689.18 = 312.91 : x
  2. Step 2: Convert to fraction form
    459.15/689.18 = 312.91/x
  3. Step 3: Cross multiply
    459.15x = 689.18 × 312.91
  4. Step 4: Simplify right side
    459.15x = 215,651.31
  5. Step 5: Solve for x
    x = 215,651.31/459.15
  6. Step 6: Final answer
    x = 469.68

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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.