Home / 1,058.24-1,461.12-824.96

Finding the Fourth Proportional to 1,058.24, 1,461.12 and 824.96

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Solution

The fourth proportional to 1,058.24, 1,461.12 and 824.96 is: 1,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.24 : 1,461.12 = 824.96 : x
  2. Step 2: Convert to fraction form
    1,058.24/1,461.12 = 824.96/x
  3. Step 3: Cross multiply
    1,058.24x = 1,461.12 × 824.96
  4. Step 4: Simplify right side
    1,058.24x = 1,205,365.56
  5. Step 5: Solve for x
    x = 1,205,365.56/1,058.24
  6. Step 6: Final answer
    x = 1,139.03

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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.