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Finding the Fourth Proportional to 738.15, 1,018.38 and 458.20

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Solution

The fourth proportional to 738.15, 1,018.38 and 458.20 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.15 : 1,018.38 = 458.20 : x
  2. Step 2: Convert to fraction form
    738.15/1,018.38 = 458.20/x
  3. Step 3: Cross multiply
    738.15x = 1,018.38 × 458.20
  4. Step 4: Simplify right side
    738.15x = 466,621.72
  5. Step 5: Solve for x
    x = 466,621.72/738.15
  6. Step 6: Final answer
    x = 632.15

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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.