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Finding the Fourth Proportional to 783.90, 1,176.30 and 290.64

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Solution

The fourth proportional to 783.90, 1,176.30 and 290.64 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,176.30 = 290.64 : x
  2. Step 2: Convert to fraction form
    783.90/1,176.30 = 290.64/x
  3. Step 3: Cross multiply
    783.90x = 1,176.30 × 290.64
  4. Step 4: Simplify right side
    783.90x = 341,879.83
  5. Step 5: Solve for x
    x = 341,879.83/783.90
  6. Step 6: Final answer
    x = 436.13

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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.