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Finding the Fourth Proportional to 813.90, 1,122.75 and 617.07

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Solution

The fourth proportional to 813.90, 1,122.75 and 617.07 is: 851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.90 : 1,122.75 = 617.07 : x
  2. Step 2: Convert to fraction form
    813.90/1,122.75 = 617.07/x
  3. Step 3: Cross multiply
    813.90x = 1,122.75 × 617.07
  4. Step 4: Simplify right side
    813.90x = 692,815.34
  5. Step 5: Solve for x
    x = 692,815.34/813.90
  6. Step 6: Final answer
    x = 851.23

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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.