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Finding the Fourth Proportional to 772.13, 1,065.56 and 457.45

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Solution

The fourth proportional to 772.13, 1,065.56 and 457.45 is: 631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.13 : 1,065.56 = 457.45 : x
  2. Step 2: Convert to fraction form
    772.13/1,065.56 = 457.45/x
  3. Step 3: Cross multiply
    772.13x = 1,065.56 × 457.45
  4. Step 4: Simplify right side
    772.13x = 487,435.47
  5. Step 5: Solve for x
    x = 487,435.47/772.13
  6. Step 6: Final answer
    x = 631.28

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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.