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Finding the Fourth Proportional to 783.15, 1,180.11 and 649.19

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Solution

The fourth proportional to 783.15, 1,180.11 and 649.19 is: 978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.15 : 1,180.11 = 649.19 : x
  2. Step 2: Convert to fraction form
    783.15/1,180.11 = 649.19/x
  3. Step 3: Cross multiply
    783.15x = 1,180.11 × 649.19
  4. Step 4: Simplify right side
    783.15x = 766,109.71
  5. Step 5: Solve for x
    x = 766,109.71/783.15
  6. Step 6: Final answer
    x = 978.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.