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Finding the Fourth Proportional to 783.65, 1,080.19 and 584.39

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Solution

The fourth proportional to 783.65, 1,080.19 and 584.39 is: 805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,080.19 = 584.39 : x
  2. Step 2: Convert to fraction form
    783.65/1,080.19 = 584.39/x
  3. Step 3: Cross multiply
    783.65x = 1,080.19 × 584.39
  4. Step 4: Simplify right side
    783.65x = 631,252.23
  5. Step 5: Solve for x
    x = 631,252.23/783.65
  6. Step 6: Final answer
    x = 805.53

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Double scale
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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.