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Finding the Fourth Proportional to 611.22, 918.31 and 598.24

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Solution

The fourth proportional to 611.22, 918.31 and 598.24 is: 898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 918.31 = 598.24 : x
  2. Step 2: Convert to fraction form
    611.22/918.31 = 598.24/x
  3. Step 3: Cross multiply
    611.22x = 918.31 × 598.24
  4. Step 4: Simplify right side
    611.22x = 549,367.07
  5. Step 5: Solve for x
    x = 549,367.07/611.22
  6. Step 6: Final answer
    x = 898.80

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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.