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Finding the Fourth Proportional to 895.48, 1,235.62 and 522.40

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Solution

The fourth proportional to 895.48, 1,235.62 and 522.40 is: 720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.48 : 1,235.62 = 522.40 : x
  2. Step 2: Convert to fraction form
    895.48/1,235.62 = 522.40/x
  3. Step 3: Cross multiply
    895.48x = 1,235.62 × 522.40
  4. Step 4: Simplify right side
    895.48x = 645,487.89
  5. Step 5: Solve for x
    x = 645,487.89/895.48
  6. Step 6: Final answer
    x = 720.83

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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.