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Finding the Fourth Proportional to 783.14, 1,078.38 and 561.69

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Solution

The fourth proportional to 783.14, 1,078.38 and 561.69 is: 773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.14 : 1,078.38 = 561.69 : x
  2. Step 2: Convert to fraction form
    783.14/1,078.38 = 561.69/x
  3. Step 3: Cross multiply
    783.14x = 1,078.38 × 561.69
  4. Step 4: Simplify right side
    783.14x = 605,715.26
  5. Step 5: Solve for x
    x = 605,715.26/783.14
  6. Step 6: Final answer
    x = 773.45

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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.