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Finding the Fourth Proportional to 1,064.80, 1,470.78 and 784.60

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Solution

The fourth proportional to 1,064.80, 1,470.78 and 784.60 is: 1,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.80 : 1,470.78 = 784.60 : x
  2. Step 2: Convert to fraction form
    1,064.80/1,470.78 = 784.60/x
  3. Step 3: Cross multiply
    1,064.80x = 1,470.78 × 784.60
  4. Step 4: Simplify right side
    1,064.80x = 1,153,973.99
  5. Step 5: Solve for x
    x = 1,153,973.99/1,064.80
  6. Step 6: Final answer
    x = 1,083.75

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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.