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Finding the Fourth Proportional to 713.12, 982.88 and 587.45

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Solution

The fourth proportional to 713.12, 982.88 and 587.45 is: 809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 982.88 = 587.45 : x
  2. Step 2: Convert to fraction form
    713.12/982.88 = 587.45/x
  3. Step 3: Cross multiply
    713.12x = 982.88 × 587.45
  4. Step 4: Simplify right side
    713.12x = 577,392.38
  5. Step 5: Solve for x
    x = 577,392.38/713.12
  6. Step 6: Final answer
    x = 809.67

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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.