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Finding the Fourth Proportional to 783.77, 1,174.07 and 373.29

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Solution

The fourth proportional to 783.77, 1,174.07 and 373.29 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.77 : 1,174.07 = 373.29 : x
  2. Step 2: Convert to fraction form
    783.77/1,174.07 = 373.29/x
  3. Step 3: Cross multiply
    783.77x = 1,174.07 × 373.29
  4. Step 4: Simplify right side
    783.77x = 438,266.72
  5. Step 5: Solve for x
    x = 438,266.72/783.77
  6. Step 6: Final answer
    x = 559.18

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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.