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Finding the Fourth Proportional to 783.34, 1,081.07 and 434.09

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Solution

The fourth proportional to 783.34, 1,081.07 and 434.09 is: 599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,081.07 = 434.09 : x
  2. Step 2: Convert to fraction form
    783.34/1,081.07 = 434.09/x
  3. Step 3: Cross multiply
    783.34x = 1,081.07 × 434.09
  4. Step 4: Simplify right side
    783.34x = 469,283.57
  5. Step 5: Solve for x
    x = 469,283.57/783.34
  6. Step 6: Final answer
    x = 599.08

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1.5x scale

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.