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Finding the Fourth Proportional to 738.05, 1,018.50 and 458.27

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Solution

The fourth proportional to 738.05, 1,018.50 and 458.27 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.05 : 1,018.50 = 458.27 : x
  2. Step 2: Convert to fraction form
    738.05/1,018.50 = 458.27/x
  3. Step 3: Cross multiply
    738.05x = 1,018.50 × 458.27
  4. Step 4: Simplify right side
    738.05x = 466,748.00
  5. Step 5: Solve for x
    x = 466,748.00/738.05
  6. Step 6: Final answer
    x = 632.41

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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.