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Finding the Fourth Proportional to 783.07, 1,176.09 and 748.51

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Solution

The fourth proportional to 783.07, 1,176.09 and 748.51 is: 1,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.07 : 1,176.09 = 748.51 : x
  2. Step 2: Convert to fraction form
    783.07/1,176.09 = 748.51/x
  3. Step 3: Cross multiply
    783.07x = 1,176.09 × 748.51
  4. Step 4: Simplify right side
    783.07x = 880,315.13
  5. Step 5: Solve for x
    x = 880,315.13/783.07
  6. Step 6: Final answer
    x = 1,124.18

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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.