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Finding the Fourth Proportional to 770.81, 1,155.20 and 462.80

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Solution

The fourth proportional to 770.81, 1,155.20 and 462.80 is: 693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.81 : 1,155.20 = 462.80 : x
  2. Step 2: Convert to fraction form
    770.81/1,155.20 = 462.80/x
  3. Step 3: Cross multiply
    770.81x = 1,155.20 × 462.80
  4. Step 4: Simplify right side
    770.81x = 534,627.13
  5. Step 5: Solve for x
    x = 534,627.13/770.81
  6. Step 6: Final answer
    x = 693.60

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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.