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Finding the Fourth Proportional to 885.85, 1,222.62 and 513.06

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Solution

The fourth proportional to 885.85, 1,222.62 and 513.06 is: 708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.85 : 1,222.62 = 513.06 : x
  2. Step 2: Convert to fraction form
    885.85/1,222.62 = 513.06/x
  3. Step 3: Cross multiply
    885.85x = 1,222.62 × 513.06
  4. Step 4: Simplify right side
    885.85x = 627,270.91
  5. Step 5: Solve for x
    x = 627,270.91/885.85
  6. Step 6: Final answer
    x = 708.10

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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.