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Finding the Fourth Proportional to 985.32, 1,359.60 and 571.32

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Solution

The fourth proportional to 985.32, 1,359.60 and 571.32 is: 788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.32 : 1,359.60 = 571.32 : x
  2. Step 2: Convert to fraction form
    985.32/1,359.60 = 571.32/x
  3. Step 3: Cross multiply
    985.32x = 1,359.60 × 571.32
  4. Step 4: Simplify right side
    985.32x = 776,766.67
  5. Step 5: Solve for x
    x = 776,766.67/985.32
  6. Step 6: Final answer
    x = 788.34

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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.