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Finding the Fourth Proportional to 460.98, 695.48 and 448.02

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Solution

The fourth proportional to 460.98, 695.48 and 448.02 is: 675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.98 : 695.48 = 448.02 : x
  2. Step 2: Convert to fraction form
    460.98/695.48 = 448.02/x
  3. Step 3: Cross multiply
    460.98x = 695.48 × 448.02
  4. Step 4: Simplify right side
    460.98x = 311,586.71
  5. Step 5: Solve for x
    x = 311,586.71/460.98
  6. Step 6: Final answer
    x = 675.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.