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Finding the Fourth Proportional to 774.16, 1,069.28 and 565

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Solution

The fourth proportional to 774.16, 1,069.28 and 565 is: 780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,069.28 = 565 : x
  2. Step 2: Convert to fraction form
    774.16/1,069.28 = 565/x
  3. Step 3: Cross multiply
    774.16x = 1,069.28 × 565
  4. Step 4: Simplify right side
    774.16x = 604,143.20
  5. Step 5: Solve for x
    x = 604,143.20/774.16
  6. Step 6: Final answer
    x = 780.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.