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Finding the Fourth Proportional to 1,089.81, 1,504.01 and 647.75

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Solution

The fourth proportional to 1,089.81, 1,504.01 and 647.75 is: 893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.81 : 1,504.01 = 647.75 : x
  2. Step 2: Convert to fraction form
    1,089.81/1,504.01 = 647.75/x
  3. Step 3: Cross multiply
    1,089.81x = 1,504.01 × 647.75
  4. Step 4: Simplify right side
    1,089.81x = 974,227.86
  5. Step 5: Solve for x
    x = 974,227.86/1,089.81
  6. Step 6: Final answer
    x = 893.94

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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.