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Finding the Fourth Proportional to 770.71, 1,156.58 and 564.65

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Solution

The fourth proportional to 770.71, 1,156.58 and 564.65 is: 847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,156.58 = 564.65 : x
  2. Step 2: Convert to fraction form
    770.71/1,156.58 = 564.65/x
  3. Step 3: Cross multiply
    770.71x = 1,156.58 × 564.65
  4. Step 4: Simplify right side
    770.71x = 653,062.97
  5. Step 5: Solve for x
    x = 653,062.97/770.71
  6. Step 6: Final answer
    x = 847.35

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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.