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Finding the Fourth Proportional to 611.52, 917.54 and 319.24

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Solution

The fourth proportional to 611.52, 917.54 and 319.24 is: 479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.52 : 917.54 = 319.24 : x
  2. Step 2: Convert to fraction form
    611.52/917.54 = 319.24/x
  3. Step 3: Cross multiply
    611.52x = 917.54 × 319.24
  4. Step 4: Simplify right side
    611.52x = 292,918.01
  5. Step 5: Solve for x
    x = 292,918.01/611.52
  6. Step 6: Final answer
    x = 479.00

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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.