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Finding the Fourth Proportional to 774.02, 1,159.43 and 565.65

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Solution

The fourth proportional to 774.02, 1,159.43 and 565.65 is: 847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,159.43 = 565.65 : x
  2. Step 2: Convert to fraction form
    774.02/1,159.43 = 565.65/x
  3. Step 3: Cross multiply
    774.02x = 1,159.43 × 565.65
  4. Step 4: Simplify right side
    774.02x = 655,828.75
  5. Step 5: Solve for x
    x = 655,828.75/774.02
  6. Step 6: Final answer
    x = 847.30

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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.