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Finding the Fourth Proportional to 425.84, 633.65 and 424.40

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Solution

The fourth proportional to 425.84, 633.65 and 424.40 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.84 : 633.65 = 424.40 : x
  2. Step 2: Convert to fraction form
    425.84/633.65 = 424.40/x
  3. Step 3: Cross multiply
    425.84x = 633.65 × 424.40
  4. Step 4: Simplify right side
    425.84x = 268,921.06
  5. Step 5: Solve for x
    x = 268,921.06/425.84
  6. Step 6: Final answer
    x = 631.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.