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Finding the Fourth Proportional to 786.42, 1,085.76 and 565.20

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Solution

The fourth proportional to 786.42, 1,085.76 and 565.20 is: 780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,085.76 = 565.20 : x
  2. Step 2: Convert to fraction form
    786.42/1,085.76 = 565.20/x
  3. Step 3: Cross multiply
    786.42x = 1,085.76 × 565.20
  4. Step 4: Simplify right side
    786.42x = 613,671.55
  5. Step 5: Solve for x
    x = 613,671.55/786.42
  6. Step 6: Final answer
    x = 780.34

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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.