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Finding the Fourth Proportional to 875.76, 1,208.56 and 565.80

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Solution

The fourth proportional to 875.76, 1,208.56 and 565.80 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.76 : 1,208.56 = 565.80 : x
  2. Step 2: Convert to fraction form
    875.76/1,208.56 = 565.80/x
  3. Step 3: Cross multiply
    875.76x = 1,208.56 × 565.80
  4. Step 4: Simplify right side
    875.76x = 683,803.25
  5. Step 5: Solve for x
    x = 683,803.25/875.76
  6. Step 6: Final answer
    x = 780.81

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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.