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Finding the Fourth Proportional to 712.75, 983.61 and 436.75

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Solution

The fourth proportional to 712.75, 983.61 and 436.75 is: 602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 983.61 = 436.75 : x
  2. Step 2: Convert to fraction form
    712.75/983.61 = 436.75/x
  3. Step 3: Cross multiply
    712.75x = 983.61 × 436.75
  4. Step 4: Simplify right side
    712.75x = 429,591.67
  5. Step 5: Solve for x
    x = 429,591.67/712.75
  6. Step 6: Final answer
    x = 602.72

Related Problems

Find fourth proportional to 356.38, 491.81 and 218.38
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Double scale
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Similar ratio
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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.