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Finding the Fourth Proportional to 830.90, 1,147.32 and 565.90

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Solution

The fourth proportional to 830.90, 1,147.32 and 565.90 is: 781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.90 : 1,147.32 = 565.90 : x
  2. Step 2: Convert to fraction form
    830.90/1,147.32 = 565.90/x
  3. Step 3: Cross multiply
    830.90x = 1,147.32 × 565.90
  4. Step 4: Simplify right side
    830.90x = 649,268.39
  5. Step 5: Solve for x
    x = 649,268.39/830.90
  6. Step 6: Final answer
    x = 781.40

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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.