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Finding the Fourth Proportional to 768.77, 1,061.40 and 591.38

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Solution

The fourth proportional to 768.77, 1,061.40 and 591.38 is: 816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.77 : 1,061.40 = 591.38 : x
  2. Step 2: Convert to fraction form
    768.77/1,061.40 = 591.38/x
  3. Step 3: Cross multiply
    768.77x = 1,061.40 × 591.38
  4. Step 4: Simplify right side
    768.77x = 627,697.59
  5. Step 5: Solve for x
    x = 627,697.59/768.77
  6. Step 6: Final answer
    x = 816.49

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1.5x scale

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.