Home / 1,026.23-1,417.70-948.47

Finding the Fourth Proportional to 1,026.23, 1,417.70 and 948.47

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Solution

The fourth proportional to 1,026.23, 1,417.70 and 948.47 is: 1,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.23 : 1,417.70 = 948.47 : x
  2. Step 2: Convert to fraction form
    1,026.23/1,417.70 = 948.47/x
  3. Step 3: Cross multiply
    1,026.23x = 1,417.70 × 948.47
  4. Step 4: Simplify right side
    1,026.23x = 1,344,641.20
  5. Step 5: Solve for x
    x = 1,344,641.20/1,026.23
  6. Step 6: Final answer
    x = 1,310.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.