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Finding the Fourth Proportional to 712.76, 983.60 and 402.24

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Solution

The fourth proportional to 712.76, 983.60 and 402.24 is: 555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.60 = 402.24 : x
  2. Step 2: Convert to fraction form
    712.76/983.60 = 402.24/x
  3. Step 3: Cross multiply
    712.76x = 983.60 × 402.24
  4. Step 4: Simplify right side
    712.76x = 395,643.26
  5. Step 5: Solve for x
    x = 395,643.26/712.76
  6. Step 6: Final answer
    x = 555.09

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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.