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Finding the Fourth Proportional to 1,048.61, 1,573.18 and 741.07

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Solution

The fourth proportional to 1,048.61, 1,573.18 and 741.07 is: 1,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.61 : 1,573.18 = 741.07 : x
  2. Step 2: Convert to fraction form
    1,048.61/1,573.18 = 741.07/x
  3. Step 3: Cross multiply
    1,048.61x = 1,573.18 × 741.07
  4. Step 4: Simplify right side
    1,048.61x = 1,165,836.50
  5. Step 5: Solve for x
    x = 1,165,836.50/1,048.61
  6. Step 6: Final answer
    x = 1,111.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.