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Finding the Fourth Proportional to 783.36, 1,080.99 and 429.27

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Solution

The fourth proportional to 783.36, 1,080.99 and 429.27 is: 592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,080.99 = 429.27 : x
  2. Step 2: Convert to fraction form
    783.36/1,080.99 = 429.27/x
  3. Step 3: Cross multiply
    783.36x = 1,080.99 × 429.27
  4. Step 4: Simplify right side
    783.36x = 464,036.58
  5. Step 5: Solve for x
    x = 464,036.58/783.36
  6. Step 6: Final answer
    x = 592.37

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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.