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Finding the Fourth Proportional to 1,058.10, 1,457.19 and 824.82

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Solution

The fourth proportional to 1,058.10, 1,457.19 and 824.82 is: 1,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.10 : 1,457.19 = 824.82 : x
  2. Step 2: Convert to fraction form
    1,058.10/1,457.19 = 824.82/x
  3. Step 3: Cross multiply
    1,058.10x = 1,457.19 × 824.82
  4. Step 4: Simplify right side
    1,058.10x = 1,201,919.46
  5. Step 5: Solve for x
    x = 1,201,919.46/1,058.10
  6. Step 6: Final answer
    x = 1,135.92

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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.