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Finding the Fourth Proportional to 895.96, 1,342.93 and 348.05

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Solution

The fourth proportional to 895.96, 1,342.93 and 348.05 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.96 : 1,342.93 = 348.05 : x
  2. Step 2: Convert to fraction form
    895.96/1,342.93 = 348.05/x
  3. Step 3: Cross multiply
    895.96x = 1,342.93 × 348.05
  4. Step 4: Simplify right side
    895.96x = 467,402.37
  5. Step 5: Solve for x
    x = 467,402.37/895.96
  6. Step 6: Final answer
    x = 521.68

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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.