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Finding the Fourth Proportional to 895.13, 1,343.21 and 401.48

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Solution

The fourth proportional to 895.13, 1,343.21 and 401.48 is: 602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.13 : 1,343.21 = 401.48 : x
  2. Step 2: Convert to fraction form
    895.13/1,343.21 = 401.48/x
  3. Step 3: Cross multiply
    895.13x = 1,343.21 × 401.48
  4. Step 4: Simplify right side
    895.13x = 539,271.95
  5. Step 5: Solve for x
    x = 539,271.95/895.13
  6. Step 6: Final answer
    x = 602.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.