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Finding the Fourth Proportional to 895.55, 1,235.93 and 522.55

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Solution

The fourth proportional to 895.55, 1,235.93 and 522.55 is: 721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.55 : 1,235.93 = 522.55 : x
  2. Step 2: Convert to fraction form
    895.55/1,235.93 = 522.55/x
  3. Step 3: Cross multiply
    895.55x = 1,235.93 × 522.55
  4. Step 4: Simplify right side
    895.55x = 645,839.62
  5. Step 5: Solve for x
    x = 645,839.62/895.55
  6. Step 6: Final answer
    x = 721.17

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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.