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Finding the Fourth Proportional to 459.80, 686.61 and 399.08

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Solution

The fourth proportional to 459.80, 686.61 and 399.08 is: 595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.80 : 686.61 = 399.08 : x
  2. Step 2: Convert to fraction form
    459.80/686.61 = 399.08/x
  3. Step 3: Cross multiply
    459.80x = 686.61 × 399.08
  4. Step 4: Simplify right side
    459.80x = 274,012.32
  5. Step 5: Solve for x
    x = 274,012.32/459.80
  6. Step 6: Final answer
    x = 595.94

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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.