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Finding the Fourth Proportional to 770.68, 1,155.80 and 419.24

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Solution

The fourth proportional to 770.68, 1,155.80 and 419.24 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.68 : 1,155.80 = 419.24 : x
  2. Step 2: Convert to fraction form
    770.68/1,155.80 = 419.24/x
  3. Step 3: Cross multiply
    770.68x = 1,155.80 × 419.24
  4. Step 4: Simplify right side
    770.68x = 484,557.59
  5. Step 5: Solve for x
    x = 484,557.59/770.68
  6. Step 6: Final answer
    x = 628.74

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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.