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Finding the Fourth Proportional to 710.90, 1,066.01 and 265.86

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Solution

The fourth proportional to 710.90, 1,066.01 and 265.86 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.90 : 1,066.01 = 265.86 : x
  2. Step 2: Convert to fraction form
    710.90/1,066.01 = 265.86/x
  3. Step 3: Cross multiply
    710.90x = 1,066.01 × 265.86
  4. Step 4: Simplify right side
    710.90x = 283,409.42
  5. Step 5: Solve for x
    x = 283,409.42/710.90
  6. Step 6: Final answer
    x = 398.66

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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.