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Finding the Fourth Proportional to 1,214.76, 1,676.36 and 690.82

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Solution

The fourth proportional to 1,214.76, 1,676.36 and 690.82 is: 953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.76 : 1,676.36 = 690.82 : x
  2. Step 2: Convert to fraction form
    1,214.76/1,676.36 = 690.82/x
  3. Step 3: Cross multiply
    1,214.76x = 1,676.36 × 690.82
  4. Step 4: Simplify right side
    1,214.76x = 1,158,063.02
  5. Step 5: Solve for x
    x = 1,158,063.02/1,214.76
  6. Step 6: Final answer
    x = 953.33

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Find fourth proportional to 607.38, 838.18 and 345.41
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.