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Finding the Fourth Proportional to 1,048.10, 1,445.72 and 674.69

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Solution

The fourth proportional to 1,048.10, 1,445.72 and 674.69 is: 930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.10 : 1,445.72 = 674.69 : x
  2. Step 2: Convert to fraction form
    1,048.10/1,445.72 = 674.69/x
  3. Step 3: Cross multiply
    1,048.10x = 1,445.72 × 674.69
  4. Step 4: Simplify right side
    1,048.10x = 975,402.22
  5. Step 5: Solve for x
    x = 975,402.22/1,048.10
  6. Step 6: Final answer
    x = 930.64

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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.