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Finding the Fourth Proportional to 560.03, 773.75 and 442.89

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Solution

The fourth proportional to 560.03, 773.75 and 442.89 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.03 : 773.75 = 442.89 : x
  2. Step 2: Convert to fraction form
    560.03/773.75 = 442.89/x
  3. Step 3: Cross multiply
    560.03x = 773.75 × 442.89
  4. Step 4: Simplify right side
    560.03x = 342,687.24
  5. Step 5: Solve for x
    x = 342,687.24/560.03
  6. Step 6: Final answer
    x = 611.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.