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Finding the Fourth Proportional to 652.01, 976.79 and 508.64

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Solution

The fourth proportional to 652.01, 976.79 and 508.64 is: 762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 976.79 = 508.64 : x
  2. Step 2: Convert to fraction form
    652.01/976.79 = 508.64/x
  3. Step 3: Cross multiply
    652.01x = 976.79 × 508.64
  4. Step 4: Simplify right side
    652.01x = 496,830.85
  5. Step 5: Solve for x
    x = 496,830.85/652.01
  6. Step 6: Final answer
    x = 762.00

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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.