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Finding the Fourth Proportional to 424.47, 633.64 and 362.50

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Solution

The fourth proportional to 424.47, 633.64 and 362.50 is: 541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 633.64 = 362.50 : x
  2. Step 2: Convert to fraction form
    424.47/633.64 = 362.50/x
  3. Step 3: Cross multiply
    424.47x = 633.64 × 362.50
  4. Step 4: Simplify right side
    424.47x = 229,694.50
  5. Step 5: Solve for x
    x = 229,694.50/424.47
  6. Step 6: Final answer
    x = 541.13

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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.