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Finding the Fourth Proportional to 712.56, 983.36 and 588.16

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Solution

The fourth proportional to 712.56, 983.36 and 588.16 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 983.36 = 588.16 : x
  2. Step 2: Convert to fraction form
    712.56/983.36 = 588.16/x
  3. Step 3: Cross multiply
    712.56x = 983.36 × 588.16
  4. Step 4: Simplify right side
    712.56x = 578,373.02
  5. Step 5: Solve for x
    x = 578,373.02/712.56
  6. Step 6: Final answer
    x = 811.68

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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.