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Finding the Fourth Proportional to 883.99, 1,220.25 and 589.15

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Solution

The fourth proportional to 883.99, 1,220.25 and 589.15 is: 813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.99 : 1,220.25 = 589.15 : x
  2. Step 2: Convert to fraction form
    883.99/1,220.25 = 589.15/x
  3. Step 3: Cross multiply
    883.99x = 1,220.25 × 589.15
  4. Step 4: Simplify right side
    883.99x = 718,910.71
  5. Step 5: Solve for x
    x = 718,910.71/883.99
  6. Step 6: Final answer
    x = 813.26

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Double scale
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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.