Home / 1,298.90-1,948.35-477.24

Finding the Fourth Proportional to 1,298.90, 1,948.35 and 477.24

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Solution

The fourth proportional to 1,298.90, 1,948.35 and 477.24 is: 715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.90 : 1,948.35 = 477.24 : x
  2. Step 2: Convert to fraction form
    1,298.90/1,948.35 = 477.24/x
  3. Step 3: Cross multiply
    1,298.90x = 1,948.35 × 477.24
  4. Step 4: Simplify right side
    1,298.90x = 929,818.43
  5. Step 5: Solve for x
    x = 929,818.43/1,298.90
  6. Step 6: Final answer
    x = 715.85

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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.