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Finding the Fourth Proportional to 710.82, 982.41 and 535.86

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Solution

The fourth proportional to 710.82, 982.41 and 535.86 is: 740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 982.41 = 535.86 : x
  2. Step 2: Convert to fraction form
    710.82/982.41 = 535.86/x
  3. Step 3: Cross multiply
    710.82x = 982.41 × 535.86
  4. Step 4: Simplify right side
    710.82x = 526,434.22
  5. Step 5: Solve for x
    x = 526,434.22/710.82
  6. Step 6: Final answer
    x = 740.60

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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.