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Finding the Fourth Proportional to 770.57, 1,155.40 and 301.49

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Solution

The fourth proportional to 770.57, 1,155.40 and 301.49 is: 452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.57 : 1,155.40 = 301.49 : x
  2. Step 2: Convert to fraction form
    770.57/1,155.40 = 301.49/x
  3. Step 3: Cross multiply
    770.57x = 1,155.40 × 301.49
  4. Step 4: Simplify right side
    770.57x = 348,335.71
  5. Step 5: Solve for x
    x = 348,335.71/770.57
  6. Step 6: Final answer
    x = 452.05

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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.