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Finding the Fourth Proportional to 595.18, 819.54 and 560.54

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Solution

The fourth proportional to 595.18, 819.54 and 560.54 is: 771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.18 : 819.54 = 560.54 : x
  2. Step 2: Convert to fraction form
    595.18/819.54 = 560.54/x
  3. Step 3: Cross multiply
    595.18x = 819.54 × 560.54
  4. Step 4: Simplify right side
    595.18x = 459,384.95
  5. Step 5: Solve for x
    x = 459,384.95/595.18
  6. Step 6: Final answer
    x = 771.84

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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.