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Finding the Fourth Proportional to 1,105.04, 1,525.47 and 701.47

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Solution

The fourth proportional to 1,105.04, 1,525.47 and 701.47 is: 968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.04 : 1,525.47 = 701.47 : x
  2. Step 2: Convert to fraction form
    1,105.04/1,525.47 = 701.47/x
  3. Step 3: Cross multiply
    1,105.04x = 1,525.47 × 701.47
  4. Step 4: Simplify right side
    1,105.04x = 1,070,063.81
  5. Step 5: Solve for x
    x = 1,070,063.81/1,105.04
  6. Step 6: Final answer
    x = 968.35

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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.