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Finding the Fourth Proportional to 843.03, 1,265.16 and 478.53

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Solution

The fourth proportional to 843.03, 1,265.16 and 478.53 is: 718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.03 : 1,265.16 = 478.53 : x
  2. Step 2: Convert to fraction form
    843.03/1,265.16 = 478.53/x
  3. Step 3: Cross multiply
    843.03x = 1,265.16 × 478.53
  4. Step 4: Simplify right side
    843.03x = 605,417.01
  5. Step 5: Solve for x
    x = 605,417.01/843.03
  6. Step 6: Final answer
    x = 718.14

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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.