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Finding the Fourth Proportional to 770.46, 1,154.61 and 655.98

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Solution

The fourth proportional to 770.46, 1,154.61 and 655.98 is: 983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.46 : 1,154.61 = 655.98 : x
  2. Step 2: Convert to fraction form
    770.46/1,154.61 = 655.98/x
  3. Step 3: Cross multiply
    770.46x = 1,154.61 × 655.98
  4. Step 4: Simplify right side
    770.46x = 757,401.07
  5. Step 5: Solve for x
    x = 757,401.07/770.46
  6. Step 6: Final answer
    x = 983.05

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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.