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Finding the Fourth Proportional to 770.42, 1,153.90 and 595.86

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Solution

The fourth proportional to 770.42, 1,153.90 and 595.86 is: 892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.42 : 1,153.90 = 595.86 : x
  2. Step 2: Convert to fraction form
    770.42/1,153.90 = 595.86/x
  3. Step 3: Cross multiply
    770.42x = 1,153.90 × 595.86
  4. Step 4: Simplify right side
    770.42x = 687,562.85
  5. Step 5: Solve for x
    x = 687,562.85/770.42
  6. Step 6: Final answer
    x = 892.45

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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.