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Finding the Fourth Proportional to 560.87, 770.76 and 535.15

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Solution

The fourth proportional to 560.87, 770.76 and 535.15 is: 735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.87 : 770.76 = 535.15 : x
  2. Step 2: Convert to fraction form
    560.87/770.76 = 535.15/x
  3. Step 3: Cross multiply
    560.87x = 770.76 × 535.15
  4. Step 4: Simplify right side
    560.87x = 412,468.95
  5. Step 5: Solve for x
    x = 412,468.95/560.87
  6. Step 6: Final answer
    x = 735.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.