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Finding the Fourth Proportional to 539.42, 807.57 and 307.89

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Solution

The fourth proportional to 539.42, 807.57 and 307.89 is: 460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.42 : 807.57 = 307.89 : x
  2. Step 2: Convert to fraction form
    539.42/807.57 = 307.89/x
  3. Step 3: Cross multiply
    539.42x = 807.57 × 307.89
  4. Step 4: Simplify right side
    539.42x = 248,642.73
  5. Step 5: Solve for x
    x = 248,642.73/539.42
  6. Step 6: Final answer
    x = 460.95

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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.