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Finding the Fourth Proportional to 458.95, 631.51 and 448.02

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Solution

The fourth proportional to 458.95, 631.51 and 448.02 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.95 : 631.51 = 448.02 : x
  2. Step 2: Convert to fraction form
    458.95/631.51 = 448.02/x
  3. Step 3: Cross multiply
    458.95x = 631.51 × 448.02
  4. Step 4: Simplify right side
    458.95x = 282,929.11
  5. Step 5: Solve for x
    x = 282,929.11/458.95
  6. Step 6: Final answer
    x = 616.47

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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.