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Finding the Fourth Proportional to 753.08, 1,037.60 and 712.16

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Solution

The fourth proportional to 753.08, 1,037.60 and 712.16 is: 981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.08 : 1,037.60 = 712.16 : x
  2. Step 2: Convert to fraction form
    753.08/1,037.60 = 712.16/x
  3. Step 3: Cross multiply
    753.08x = 1,037.60 × 712.16
  4. Step 4: Simplify right side
    753.08x = 738,937.22
  5. Step 5: Solve for x
    x = 738,937.22/753.08
  6. Step 6: Final answer
    x = 981.22

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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.