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Finding the Fourth Proportional to 918.53, 1,375.80 and 566.06

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Solution

The fourth proportional to 918.53, 1,375.80 and 566.06 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.53 : 1,375.80 = 566.06 : x
  2. Step 2: Convert to fraction form
    918.53/1,375.80 = 566.06/x
  3. Step 3: Cross multiply
    918.53x = 1,375.80 × 566.06
  4. Step 4: Simplify right side
    918.53x = 778,785.35
  5. Step 5: Solve for x
    x = 778,785.35/918.53
  6. Step 6: Final answer
    x = 847.86

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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.