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Finding the Fourth Proportional to 985.72, 1,360.84 and 654.59

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Solution

The fourth proportional to 985.72, 1,360.84 and 654.59 is: 903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.72 : 1,360.84 = 654.59 : x
  2. Step 2: Convert to fraction form
    985.72/1,360.84 = 654.59/x
  3. Step 3: Cross multiply
    985.72x = 1,360.84 × 654.59
  4. Step 4: Simplify right side
    985.72x = 890,792.26
  5. Step 5: Solve for x
    x = 890,792.26/985.72
  6. Step 6: Final answer
    x = 903.70

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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.