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Finding the Fourth Proportional to 880.36, 1,313.69 and 802.77

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Solution

The fourth proportional to 880.36, 1,313.69 and 802.77 is: 1,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.36 : 1,313.69 = 802.77 : x
  2. Step 2: Convert to fraction form
    880.36/1,313.69 = 802.77/x
  3. Step 3: Cross multiply
    880.36x = 1,313.69 × 802.77
  4. Step 4: Simplify right side
    880.36x = 1,054,590.92
  5. Step 5: Solve for x
    x = 1,054,590.92/880.36
  6. Step 6: Final answer
    x = 1,197.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.