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Finding the Fourth Proportional to 783.11, 1,080.71 and 429.05

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Solution

The fourth proportional to 783.11, 1,080.71 and 429.05 is: 592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,080.71 = 429.05 : x
  2. Step 2: Convert to fraction form
    783.11/1,080.71 = 429.05/x
  3. Step 3: Cross multiply
    783.11x = 1,080.71 × 429.05
  4. Step 4: Simplify right side
    783.11x = 463,678.63
  5. Step 5: Solve for x
    x = 463,678.63/783.11
  6. Step 6: Final answer
    x = 592.10

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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.