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Finding the Fourth Proportional to 652.91, 979.81 and 595.49

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Solution

The fourth proportional to 652.91, 979.81 and 595.49 is: 893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.91 : 979.81 = 595.49 : x
  2. Step 2: Convert to fraction form
    652.91/979.81 = 595.49/x
  3. Step 3: Cross multiply
    652.91x = 979.81 × 595.49
  4. Step 4: Simplify right side
    652.91x = 583,460.67
  5. Step 5: Solve for x
    x = 583,460.67/652.91
  6. Step 6: Final answer
    x = 893.64

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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.