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Finding the Fourth Proportional to 985.78, 1,359.61 and 654.08

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Solution

The fourth proportional to 985.78, 1,359.61 and 654.08 is: 902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 1,359.61 = 654.08 : x
  2. Step 2: Convert to fraction form
    985.78/1,359.61 = 654.08/x
  3. Step 3: Cross multiply
    985.78x = 1,359.61 × 654.08
  4. Step 4: Simplify right side
    985.78x = 889,293.71
  5. Step 5: Solve for x
    x = 889,293.71/985.78
  6. Step 6: Final answer
    x = 902.12

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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.