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Finding the Fourth Proportional to 1,033.36, 1,547.30 and 756.34

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Solution

The fourth proportional to 1,033.36, 1,547.30 and 756.34 is: 1,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.36 : 1,547.30 = 756.34 : x
  2. Step 2: Convert to fraction form
    1,033.36/1,547.30 = 756.34/x
  3. Step 3: Cross multiply
    1,033.36x = 1,547.30 × 756.34
  4. Step 4: Simplify right side
    1,033.36x = 1,170,282.90
  5. Step 5: Solve for x
    x = 1,170,282.90/1,033.36
  6. Step 6: Final answer
    x = 1,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.