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Finding the Fourth Proportional to 410.59, 613.31 and 307.32

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Solution

The fourth proportional to 410.59, 613.31 and 307.32 is: 459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.59 : 613.31 = 307.32 : x
  2. Step 2: Convert to fraction form
    410.59/613.31 = 307.32/x
  3. Step 3: Cross multiply
    410.59x = 613.31 × 307.32
  4. Step 4: Simplify right side
    410.59x = 188,482.43
  5. Step 5: Solve for x
    x = 188,482.43/410.59
  6. Step 6: Final answer
    x = 459.05

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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.