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Finding the Fourth Proportional to 560.72, 839.50 and 395.80

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Solution

The fourth proportional to 560.72, 839.50 and 395.80 is: 592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 839.50 = 395.80 : x
  2. Step 2: Convert to fraction form
    560.72/839.50 = 395.80/x
  3. Step 3: Cross multiply
    560.72x = 839.50 × 395.80
  4. Step 4: Simplify right side
    560.72x = 332,274.10
  5. Step 5: Solve for x
    x = 332,274.10/560.72
  6. Step 6: Final answer
    x = 592.58

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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.