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Finding the Fourth Proportional to 1,378.47, 2,066.85 and 557.13

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Solution

The fourth proportional to 1,378.47, 2,066.85 and 557.13 is: 835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.47 : 2,066.85 = 557.13 : x
  2. Step 2: Convert to fraction form
    1,378.47/2,066.85 = 557.13/x
  3. Step 3: Cross multiply
    1,378.47x = 2,066.85 × 557.13
  4. Step 4: Simplify right side
    1,378.47x = 1,151,504.14
  5. Step 5: Solve for x
    x = 1,151,504.14/1,378.47
  6. Step 6: Final answer
    x = 835.35

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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.