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Finding the Fourth Proportional to 902.47, 1,245.75 and 706.04

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Solution

The fourth proportional to 902.47, 1,245.75 and 706.04 is: 974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.47 : 1,245.75 = 706.04 : x
  2. Step 2: Convert to fraction form
    902.47/1,245.75 = 706.04/x
  3. Step 3: Cross multiply
    902.47x = 1,245.75 × 706.04
  4. Step 4: Simplify right side
    902.47x = 879,549.33
  5. Step 5: Solve for x
    x = 879,549.33/902.47
  6. Step 6: Final answer
    x = 974.60

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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.