Home / 1,631.31-2,447.36-477.06

Finding the Fourth Proportional to 1,631.31, 2,447.36 and 477.06

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Solution

The fourth proportional to 1,631.31, 2,447.36 and 477.06 is: 715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.31 : 2,447.36 = 477.06 : x
  2. Step 2: Convert to fraction form
    1,631.31/2,447.36 = 477.06/x
  3. Step 3: Cross multiply
    1,631.31x = 2,447.36 × 477.06
  4. Step 4: Simplify right side
    1,631.31x = 1,167,535.18
  5. Step 5: Solve for x
    x = 1,167,535.18/1,631.31
  6. Step 6: Final answer
    x = 715.70

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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.