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Finding the Fourth Proportional to 770.68, 1,154.10 and 563.80

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Solution

The fourth proportional to 770.68, 1,154.10 and 563.80 is: 844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.68 : 1,154.10 = 563.80 : x
  2. Step 2: Convert to fraction form
    770.68/1,154.10 = 563.80/x
  3. Step 3: Cross multiply
    770.68x = 1,154.10 × 563.80
  4. Step 4: Simplify right side
    770.68x = 650,681.58
  5. Step 5: Solve for x
    x = 650,681.58/770.68
  6. Step 6: Final answer
    x = 844.30

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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.