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Finding the Fourth Proportional to 895.12, 1,234.98 and 522.02

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Solution

The fourth proportional to 895.12, 1,234.98 and 522.02 is: 720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.12 : 1,234.98 = 522.02 : x
  2. Step 2: Convert to fraction form
    895.12/1,234.98 = 522.02/x
  3. Step 3: Cross multiply
    895.12x = 1,234.98 × 522.02
  4. Step 4: Simplify right side
    895.12x = 644,684.26
  5. Step 5: Solve for x
    x = 644,684.26/895.12
  6. Step 6: Final answer
    x = 720.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.