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Finding the Fourth Proportional to 895.66, 1,342.72 and 348.23

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Solution

The fourth proportional to 895.66, 1,342.72 and 348.23 is: 522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.66 : 1,342.72 = 348.23 : x
  2. Step 2: Convert to fraction form
    895.66/1,342.72 = 348.23/x
  3. Step 3: Cross multiply
    895.66x = 1,342.72 × 348.23
  4. Step 4: Simplify right side
    895.66x = 467,575.39
  5. Step 5: Solve for x
    x = 467,575.39/895.66
  6. Step 6: Final answer
    x = 522.05

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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.