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Finding the Fourth Proportional to 740.20, 1,014.06 and 712.50

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Solution

The fourth proportional to 740.20, 1,014.06 and 712.50 is: 976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.20 : 1,014.06 = 712.50 : x
  2. Step 2: Convert to fraction form
    740.20/1,014.06 = 712.50/x
  3. Step 3: Cross multiply
    740.20x = 1,014.06 × 712.50
  4. Step 4: Simplify right side
    740.20x = 722,517.75
  5. Step 5: Solve for x
    x = 722,517.75/740.20
  6. Step 6: Final answer
    x = 976.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.