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Finding the Fourth Proportional to 897.86, 1,238.88 and 565.70

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Solution

The fourth proportional to 897.86, 1,238.88 and 565.70 is: 780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.86 : 1,238.88 = 565.70 : x
  2. Step 2: Convert to fraction form
    897.86/1,238.88 = 565.70/x
  3. Step 3: Cross multiply
    897.86x = 1,238.88 × 565.70
  4. Step 4: Simplify right side
    897.86x = 700,828.22
  5. Step 5: Solve for x
    x = 700,828.22/897.86
  6. Step 6: Final answer
    x = 780.56

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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.