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Finding the Fourth Proportional to 571.90, 855.72 and 340.91

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Solution

The fourth proportional to 571.90, 855.72 and 340.91 is: 510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.90 : 855.72 = 340.91 : x
  2. Step 2: Convert to fraction form
    571.90/855.72 = 340.91/x
  3. Step 3: Cross multiply
    571.90x = 855.72 × 340.91
  4. Step 4: Simplify right side
    571.90x = 291,725.64
  5. Step 5: Solve for x
    x = 291,725.64/571.90
  6. Step 6: Final answer
    x = 510.10

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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.