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Finding the Fourth Proportional to 770.22, 1,154.70 and 527.22

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Solution

The fourth proportional to 770.22, 1,154.70 and 527.22 is: 790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.22 : 1,154.70 = 527.22 : x
  2. Step 2: Convert to fraction form
    770.22/1,154.70 = 527.22/x
  3. Step 3: Cross multiply
    770.22x = 1,154.70 × 527.22
  4. Step 4: Simplify right side
    770.22x = 608,780.93
  5. Step 5: Solve for x
    x = 608,780.93/770.22
  6. Step 6: Final answer
    x = 790.40

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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.