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Finding the Fourth Proportional to 595.71, 819.59 and 564.39

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Solution

The fourth proportional to 595.71, 819.59 and 564.39 is: 776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.71 : 819.59 = 564.39 : x
  2. Step 2: Convert to fraction form
    595.71/819.59 = 564.39/x
  3. Step 3: Cross multiply
    595.71x = 819.59 × 564.39
  4. Step 4: Simplify right side
    595.71x = 462,565.58
  5. Step 5: Solve for x
    x = 462,565.58/595.71
  6. Step 6: Final answer
    x = 776.49

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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.