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Finding the Fourth Proportional to 771.98, 1,158.52 and 387.50

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Solution

The fourth proportional to 771.98, 1,158.52 and 387.50 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,158.52 = 387.50 : x
  2. Step 2: Convert to fraction form
    771.98/1,158.52 = 387.50/x
  3. Step 3: Cross multiply
    771.98x = 1,158.52 × 387.50
  4. Step 4: Simplify right side
    771.98x = 448,926.50
  5. Step 5: Solve for x
    x = 448,926.50/771.98
  6. Step 6: Final answer
    x = 581.53

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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.