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Finding the Fourth Proportional to 783.34, 1,080.83 and 468.55

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Solution

The fourth proportional to 783.34, 1,080.83 and 468.55 is: 646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,080.83 = 468.55 : x
  2. Step 2: Convert to fraction form
    783.34/1,080.83 = 468.55/x
  3. Step 3: Cross multiply
    783.34x = 1,080.83 × 468.55
  4. Step 4: Simplify right side
    783.34x = 506,422.90
  5. Step 5: Solve for x
    x = 506,422.90/783.34
  6. Step 6: Final answer
    x = 646.50

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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.