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Finding the Fourth Proportional to 770.25, 1,155.95 and 565.35

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Solution

The fourth proportional to 770.25, 1,155.95 and 565.35 is: 848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.25 : 1,155.95 = 565.35 : x
  2. Step 2: Convert to fraction form
    770.25/1,155.95 = 565.35/x
  3. Step 3: Cross multiply
    770.25x = 1,155.95 × 565.35
  4. Step 4: Simplify right side
    770.25x = 653,513.51
  5. Step 5: Solve for x
    x = 653,513.51/770.25
  6. Step 6: Final answer
    x = 848.44

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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.