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Finding the Fourth Proportional to 712.30, 983.44 and 460.66

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Solution

The fourth proportional to 712.30, 983.44 and 460.66 is: 636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.30 : 983.44 = 460.66 : x
  2. Step 2: Convert to fraction form
    712.30/983.44 = 460.66/x
  3. Step 3: Cross multiply
    712.30x = 983.44 × 460.66
  4. Step 4: Simplify right side
    712.30x = 453,031.47
  5. Step 5: Solve for x
    x = 453,031.47/712.30
  6. Step 6: Final answer
    x = 636.01

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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.