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Finding the Fourth Proportional to 771.78, 1,158.08 and 590.34

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Solution

The fourth proportional to 771.78, 1,158.08 and 590.34 is: 885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.78 : 1,158.08 = 590.34 : x
  2. Step 2: Convert to fraction form
    771.78/1,158.08 = 590.34/x
  3. Step 3: Cross multiply
    771.78x = 1,158.08 × 590.34
  4. Step 4: Simplify right side
    771.78x = 683,660.95
  5. Step 5: Solve for x
    x = 683,660.95/771.78
  6. Step 6: Final answer
    x = 885.82

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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.