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Finding the Fourth Proportional to 1,055.76, 1,582.20 and 782.88

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Solution

The fourth proportional to 1,055.76, 1,582.20 and 782.88 is: 1,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,582.20 = 782.88 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,582.20 = 782.88/x
  3. Step 3: Cross multiply
    1,055.76x = 1,582.20 × 782.88
  4. Step 4: Simplify right side
    1,055.76x = 1,238,672.74
  5. Step 5: Solve for x
    x = 1,238,672.74/1,055.76
  6. Step 6: Final answer
    x = 1,173.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.