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Finding the Fourth Proportional to 985.85, 1,360.40 and 593.09

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Solution

The fourth proportional to 985.85, 1,360.40 and 593.09 is: 818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.85 : 1,360.40 = 593.09 : x
  2. Step 2: Convert to fraction form
    985.85/1,360.40 = 593.09/x
  3. Step 3: Cross multiply
    985.85x = 1,360.40 × 593.09
  4. Step 4: Simplify right side
    985.85x = 806,829.87
  5. Step 5: Solve for x
    x = 806,829.87/985.85
  6. Step 6: Final answer
    x = 818.41

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1.5x scale

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.