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Finding the Fourth Proportional to 712.62, 983.19 and 436.62

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Solution

The fourth proportional to 712.62, 983.19 and 436.62 is: 602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 983.19 = 436.62 : x
  2. Step 2: Convert to fraction form
    712.62/983.19 = 436.62/x
  3. Step 3: Cross multiply
    712.62x = 983.19 × 436.62
  4. Step 4: Simplify right side
    712.62x = 429,280.42
  5. Step 5: Solve for x
    x = 429,280.42/712.62
  6. Step 6: Final answer
    x = 602.40

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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.