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Finding the Fourth Proportional to 1,298.77, 1,948.68 and 477.11

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Solution

The fourth proportional to 1,298.77, 1,948.68 and 477.11 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.77 : 1,948.68 = 477.11 : x
  2. Step 2: Convert to fraction form
    1,298.77/1,948.68 = 477.11/x
  3. Step 3: Cross multiply
    1,298.77x = 1,948.68 × 477.11
  4. Step 4: Simplify right side
    1,298.77x = 929,734.71
  5. Step 5: Solve for x
    x = 929,734.71/1,298.77
  6. Step 6: Final answer
    x = 715.86

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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.