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Finding the Fourth Proportional to 895.70, 1,236.10 and 522.62

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Solution

The fourth proportional to 895.70, 1,236.10 and 522.62 is: 721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.70 : 1,236.10 = 522.62 : x
  2. Step 2: Convert to fraction form
    895.70/1,236.10 = 522.62/x
  3. Step 3: Cross multiply
    895.70x = 1,236.10 × 522.62
  4. Step 4: Simplify right side
    895.70x = 646,010.58
  5. Step 5: Solve for x
    x = 646,010.58/895.70
  6. Step 6: Final answer
    x = 721.24

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Double scale
Find fourth proportional to 896.70, 1,237.48 and 523.62
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1.5x scale

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.