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Finding the Fourth Proportional to 1,028.76, 1,419.08 and 635.50

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Solution

The fourth proportional to 1,028.76, 1,419.08 and 635.50 is: 876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.76 : 1,419.08 = 635.50 : x
  2. Step 2: Convert to fraction form
    1,028.76/1,419.08 = 635.50/x
  3. Step 3: Cross multiply
    1,028.76x = 1,419.08 × 635.50
  4. Step 4: Simplify right side
    1,028.76x = 901,825.34
  5. Step 5: Solve for x
    x = 901,825.34/1,028.76
  6. Step 6: Final answer
    x = 876.61

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Find fourth proportional to 514.38, 709.54 and 317.75
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.