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Finding the Fourth Proportional to 459.57, 689.46 and 358.11

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Solution

The fourth proportional to 459.57, 689.46 and 358.11 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 689.46 = 358.11 : x
  2. Step 2: Convert to fraction form
    459.57/689.46 = 358.11/x
  3. Step 3: Cross multiply
    459.57x = 689.46 × 358.11
  4. Step 4: Simplify right side
    459.57x = 246,902.52
  5. Step 5: Solve for x
    x = 246,902.52/459.57
  6. Step 6: Final answer
    x = 537.25

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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.