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Finding the Fourth Proportional to 1,117.02, 1,541.62 and 645.03

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Solution

The fourth proportional to 1,117.02, 1,541.62 and 645.03 is: 890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,541.62 = 645.03 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,541.62 = 645.03/x
  3. Step 3: Cross multiply
    1,117.02x = 1,541.62 × 645.03
  4. Step 4: Simplify right side
    1,117.02x = 994,391.95
  5. Step 5: Solve for x
    x = 994,391.95/1,117.02
  6. Step 6: Final answer
    x = 890.22

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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.