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Finding the Fourth Proportional to 1,304, 1,799.84 and 752.32

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Solution

The fourth proportional to 1,304, 1,799.84 and 752.32 is: 1,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304 : 1,799.84 = 752.32 : x
  2. Step 2: Convert to fraction form
    1,304/1,799.84 = 752.32/x
  3. Step 3: Cross multiply
    1,304x = 1,799.84 × 752.32
  4. Step 4: Simplify right side
    1,304x = 1,354,055.63
  5. Step 5: Solve for x
    x = 1,354,055.63/1,304
  6. Step 6: Final answer
    x = 1,038.39

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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.