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Finding the Fourth Proportional to 1,053.48, 1,453.86 and 703.92

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Solution

The fourth proportional to 1,053.48, 1,453.86 and 703.92 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.48 : 1,453.86 = 703.92 : x
  2. Step 2: Convert to fraction form
    1,053.48/1,453.86 = 703.92/x
  3. Step 3: Cross multiply
    1,053.48x = 1,453.86 × 703.92
  4. Step 4: Simplify right side
    1,053.48x = 1,023,401.13
  5. Step 5: Solve for x
    x = 1,023,401.13/1,053.48
  6. Step 6: Final answer
    x = 971.45

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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.