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Finding the Fourth Proportional to 804.98, 1,210.26 and 562.52

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Solution

The fourth proportional to 804.98, 1,210.26 and 562.52 is: 845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.98 : 1,210.26 = 562.52 : x
  2. Step 2: Convert to fraction form
    804.98/1,210.26 = 562.52/x
  3. Step 3: Cross multiply
    804.98x = 1,210.26 × 562.52
  4. Step 4: Simplify right side
    804.98x = 680,795.46
  5. Step 5: Solve for x
    x = 680,795.46/804.98
  6. Step 6: Final answer
    x = 845.73

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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.