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Finding the Fourth Proportional to 895.80, 1,343.67 and 348.11

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Solution

The fourth proportional to 895.80, 1,343.67 and 348.11 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.80 : 1,343.67 = 348.11 : x
  2. Step 2: Convert to fraction form
    895.80/1,343.67 = 348.11/x
  3. Step 3: Cross multiply
    895.80x = 1,343.67 × 348.11
  4. Step 4: Simplify right side
    895.80x = 467,738.25
  5. Step 5: Solve for x
    x = 467,738.25/895.80
  6. Step 6: Final answer
    x = 522.15

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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.