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Finding the Fourth Proportional to 713.13, 983.61 and 463.99

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Solution

The fourth proportional to 713.13, 983.61 and 463.99 is: 639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.13 : 983.61 = 463.99 : x
  2. Step 2: Convert to fraction form
    713.13/983.61 = 463.99/x
  3. Step 3: Cross multiply
    713.13x = 983.61 × 463.99
  4. Step 4: Simplify right side
    713.13x = 456,380.29
  5. Step 5: Solve for x
    x = 456,380.29/713.13
  6. Step 6: Final answer
    x = 639.97

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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.