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Finding the Fourth Proportional to 1,298.78, 1,948.65 and 477.59

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Solution

The fourth proportional to 1,298.78, 1,948.65 and 477.59 is: 716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.78 : 1,948.65 = 477.59 : x
  2. Step 2: Convert to fraction form
    1,298.78/1,948.65 = 477.59/x
  3. Step 3: Cross multiply
    1,298.78x = 1,948.65 × 477.59
  4. Step 4: Simplify right side
    1,298.78x = 930,655.75
  5. Step 5: Solve for x
    x = 930,655.75/1,298.78
  6. Step 6: Final answer
    x = 716.56

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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.