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Finding the Fourth Proportional to 1,476.78, 2,213.64 and 697.20

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Solution

The fourth proportional to 1,476.78, 2,213.64 and 697.20 is: 1,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.78 : 2,213.64 = 697.20 : x
  2. Step 2: Convert to fraction form
    1,476.78/2,213.64 = 697.20/x
  3. Step 3: Cross multiply
    1,476.78x = 2,213.64 × 697.20
  4. Step 4: Simplify right side
    1,476.78x = 1,543,349.81
  5. Step 5: Solve for x
    x = 1,543,349.81/1,476.78
  6. Step 6: Final answer
    x = 1,045.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.