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Finding the Fourth Proportional to 783.83, 1,174.98 and 290.10

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Solution

The fourth proportional to 783.83, 1,174.98 and 290.10 is: 434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.83 : 1,174.98 = 290.10 : x
  2. Step 2: Convert to fraction form
    783.83/1,174.98 = 290.10/x
  3. Step 3: Cross multiply
    783.83x = 1,174.98 × 290.10
  4. Step 4: Simplify right side
    783.83x = 340,855.82
  5. Step 5: Solve for x
    x = 340,855.82/783.83
  6. Step 6: Final answer
    x = 434.86

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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.