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Finding the Fourth Proportional to 810.10, 1,212.99 and 424.54

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Solution

The fourth proportional to 810.10, 1,212.99 and 424.54 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.10 : 1,212.99 = 424.54 : x
  2. Step 2: Convert to fraction form
    810.10/1,212.99 = 424.54/x
  3. Step 3: Cross multiply
    810.10x = 1,212.99 × 424.54
  4. Step 4: Simplify right side
    810.10x = 514,962.77
  5. Step 5: Solve for x
    x = 514,962.77/810.10
  6. Step 6: Final answer
    x = 635.68

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Double scale
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1.5x scale

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.