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Finding the Fourth Proportional to 783.95, 1,081.73 and 434.66

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Solution

The fourth proportional to 783.95, 1,081.73 and 434.66 is: 599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.95 : 1,081.73 = 434.66 : x
  2. Step 2: Convert to fraction form
    783.95/1,081.73 = 434.66/x
  3. Step 3: Cross multiply
    783.95x = 1,081.73 × 434.66
  4. Step 4: Simplify right side
    783.95x = 470,184.76
  5. Step 5: Solve for x
    x = 470,184.76/783.95
  6. Step 6: Final answer
    x = 599.76

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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.