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Finding the Fourth Proportional to 710.75, 980.84 and 415.91

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Solution

The fourth proportional to 710.75, 980.84 and 415.91 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.75 : 980.84 = 415.91 : x
  2. Step 2: Convert to fraction form
    710.75/980.84 = 415.91/x
  3. Step 3: Cross multiply
    710.75x = 980.84 × 415.91
  4. Step 4: Simplify right side
    710.75x = 407,939.08
  5. Step 5: Solve for x
    x = 407,939.08/710.75
  6. Step 6: Final answer
    x = 573.96

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Find fourth proportional to 355.38, 490.42 and 207.96
Half scale
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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.