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Finding the Fourth Proportional to 459.42, 686.46 and 347.50

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Solution

The fourth proportional to 459.42, 686.46 and 347.50 is: 519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 686.46 = 347.50 : x
  2. Step 2: Convert to fraction form
    459.42/686.46 = 347.50/x
  3. Step 3: Cross multiply
    459.42x = 686.46 × 347.50
  4. Step 4: Simplify right side
    459.42x = 238,544.85
  5. Step 5: Solve for x
    x = 238,544.85/459.42
  6. Step 6: Final answer
    x = 519.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.