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Finding the Fourth Proportional to 783.47, 1,081.25 and 488.63

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Solution

The fourth proportional to 783.47, 1,081.25 and 488.63 is: 674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,081.25 = 488.63 : x
  2. Step 2: Convert to fraction form
    783.47/1,081.25 = 488.63/x
  3. Step 3: Cross multiply
    783.47x = 1,081.25 × 488.63
  4. Step 4: Simplify right side
    783.47x = 528,333.28
  5. Step 5: Solve for x
    x = 528,333.28/783.47
  6. Step 6: Final answer
    x = 674.35

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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.