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Finding the Fourth Proportional to 740.60, 1,022.76 and 583.22

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Solution

The fourth proportional to 740.60, 1,022.76 and 583.22 is: 805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.60 : 1,022.76 = 583.22 : x
  2. Step 2: Convert to fraction form
    740.60/1,022.76 = 583.22/x
  3. Step 3: Cross multiply
    740.60x = 1,022.76 × 583.22
  4. Step 4: Simplify right side
    740.60x = 596,488.97
  5. Step 5: Solve for x
    x = 596,488.97/740.60
  6. Step 6: Final answer
    x = 805.42

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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.