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Finding the Fourth Proportional to 652.13, 975.27 and 579.45

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Solution

The fourth proportional to 652.13, 975.27 and 579.45 is: 866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 975.27 = 579.45 : x
  2. Step 2: Convert to fraction form
    652.13/975.27 = 579.45/x
  3. Step 3: Cross multiply
    652.13x = 975.27 × 579.45
  4. Step 4: Simplify right side
    652.13x = 565,120.20
  5. Step 5: Solve for x
    x = 565,120.20/652.13
  6. Step 6: Final answer
    x = 866.58

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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.