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Finding the Fourth Proportional to 985.78, 1,478.97 and 552.63

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Solution

The fourth proportional to 985.78, 1,478.97 and 552.63 is: 829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 1,478.97 = 552.63 : x
  2. Step 2: Convert to fraction form
    985.78/1,478.97 = 552.63/x
  3. Step 3: Cross multiply
    985.78x = 1,478.97 × 552.63
  4. Step 4: Simplify right side
    985.78x = 817,323.19
  5. Step 5: Solve for x
    x = 817,323.19/985.78
  6. Step 6: Final answer
    x = 829.11

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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.