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Finding the Fourth Proportional to 1,223.10, 1,688.04 and 751.02

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Solution

The fourth proportional to 1,223.10, 1,688.04 and 751.02 is: 1,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.10 : 1,688.04 = 751.02 : x
  2. Step 2: Convert to fraction form
    1,223.10/1,688.04 = 751.02/x
  3. Step 3: Cross multiply
    1,223.10x = 1,688.04 × 751.02
  4. Step 4: Simplify right side
    1,223.10x = 1,267,751.80
  5. Step 5: Solve for x
    x = 1,267,751.80/1,223.10
  6. Step 6: Final answer
    x = 1,036.51

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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.