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Finding the Fourth Proportional to 802.08, 1,199.52 and 508.86

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Solution

The fourth proportional to 802.08, 1,199.52 and 508.86 is: 761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,199.52 = 508.86 : x
  2. Step 2: Convert to fraction form
    802.08/1,199.52 = 508.86/x
  3. Step 3: Cross multiply
    802.08x = 1,199.52 × 508.86
  4. Step 4: Simplify right side
    802.08x = 610,387.75
  5. Step 5: Solve for x
    x = 610,387.75/802.08
  6. Step 6: Final answer
    x = 761.01

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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.