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Finding the Fourth Proportional to 783.24, 1,078.56 and 766.20

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Solution

The fourth proportional to 783.24, 1,078.56 and 766.20 is: 1,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.24 : 1,078.56 = 766.20 : x
  2. Step 2: Convert to fraction form
    783.24/1,078.56 = 766.20/x
  3. Step 3: Cross multiply
    783.24x = 1,078.56 × 766.20
  4. Step 4: Simplify right side
    783.24x = 826,392.67
  5. Step 5: Solve for x
    x = 826,392.67/783.24
  6. Step 6: Final answer
    x = 1,055.10

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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.