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Finding the Fourth Proportional to 802.48, 1,203.86 and 456.49

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Solution

The fourth proportional to 802.48, 1,203.86 and 456.49 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.48 : 1,203.86 = 456.49 : x
  2. Step 2: Convert to fraction form
    802.48/1,203.86 = 456.49/x
  3. Step 3: Cross multiply
    802.48x = 1,203.86 × 456.49
  4. Step 4: Simplify right side
    802.48x = 549,550.05
  5. Step 5: Solve for x
    x = 549,550.05/802.48
  6. Step 6: Final answer
    x = 684.81

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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.