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Finding the Fourth Proportional to 772.04, 1,065.62 and 477.14

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Solution

The fourth proportional to 772.04, 1,065.62 and 477.14 is: 658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,065.62 = 477.14 : x
  2. Step 2: Convert to fraction form
    772.04/1,065.62 = 477.14/x
  3. Step 3: Cross multiply
    772.04x = 1,065.62 × 477.14
  4. Step 4: Simplify right side
    772.04x = 508,442.21
  5. Step 5: Solve for x
    x = 508,442.21/772.04
  6. Step 6: Final answer
    x = 658.57

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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.