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Finding the Fourth Proportional to 560.61, 839.99 and 444.42

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Solution

The fourth proportional to 560.61, 839.99 and 444.42 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.61 : 839.99 = 444.42 : x
  2. Step 2: Convert to fraction form
    560.61/839.99 = 444.42/x
  3. Step 3: Cross multiply
    560.61x = 839.99 × 444.42
  4. Step 4: Simplify right side
    560.61x = 373,306.13
  5. Step 5: Solve for x
    x = 373,306.13/560.61
  6. Step 6: Final answer
    x = 665.89

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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.