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Finding the Fourth Proportional to 879.53, 1,319.90 and 802.98

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Solution

The fourth proportional to 879.53, 1,319.90 and 802.98 is: 1,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.53 : 1,319.90 = 802.98 : x
  2. Step 2: Convert to fraction form
    879.53/1,319.90 = 802.98/x
  3. Step 3: Cross multiply
    879.53x = 1,319.90 × 802.98
  4. Step 4: Simplify right side
    879.53x = 1,059,849.29
  5. Step 5: Solve for x
    x = 1,059,849.29/879.53
  6. Step 6: Final answer
    x = 1,205.02

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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.