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Finding the Fourth Proportional to 1,117.68, 1,541.90 and 669.30

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Solution

The fourth proportional to 1,117.68, 1,541.90 and 669.30 is: 923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.68 : 1,541.90 = 669.30 : x
  2. Step 2: Convert to fraction form
    1,117.68/1,541.90 = 669.30/x
  3. Step 3: Cross multiply
    1,117.68x = 1,541.90 × 669.30
  4. Step 4: Simplify right side
    1,117.68x = 1,031,993.67
  5. Step 5: Solve for x
    x = 1,031,993.67/1,117.68
  6. Step 6: Final answer
    x = 923.34

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1.5x scale

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.