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Finding the Fourth Proportional to 813.51, 1,122.39 and 464.13

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Solution

The fourth proportional to 813.51, 1,122.39 and 464.13 is: 640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.51 : 1,122.39 = 464.13 : x
  2. Step 2: Convert to fraction form
    813.51/1,122.39 = 464.13/x
  3. Step 3: Cross multiply
    813.51x = 1,122.39 × 464.13
  4. Step 4: Simplify right side
    813.51x = 520,934.87
  5. Step 5: Solve for x
    x = 520,934.87/813.51
  6. Step 6: Final answer
    x = 640.35

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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.