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Finding the Fourth Proportional to 770.46, 1,154.16 and 461.46

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Solution

The fourth proportional to 770.46, 1,154.16 and 461.46 is: 691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.46 : 1,154.16 = 461.46 : x
  2. Step 2: Convert to fraction form
    770.46/1,154.16 = 461.46/x
  3. Step 3: Cross multiply
    770.46x = 1,154.16 × 461.46
  4. Step 4: Simplify right side
    770.46x = 532,598.67
  5. Step 5: Solve for x
    x = 532,598.67/770.46
  6. Step 6: Final answer
    x = 691.27

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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.