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Finding the Fourth Proportional to 814.58, 1,223.70 and 584.06

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Solution

The fourth proportional to 814.58, 1,223.70 and 584.06 is: 877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.58 : 1,223.70 = 584.06 : x
  2. Step 2: Convert to fraction form
    814.58/1,223.70 = 584.06/x
  3. Step 3: Cross multiply
    814.58x = 1,223.70 × 584.06
  4. Step 4: Simplify right side
    814.58x = 714,714.22
  5. Step 5: Solve for x
    x = 714,714.22/814.58
  6. Step 6: Final answer
    x = 877.40

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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.