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Finding the Fourth Proportional to 1,023.77, 1,411.24 and 802.33

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Solution

The fourth proportional to 1,023.77, 1,411.24 and 802.33 is: 1,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.77 : 1,411.24 = 802.33 : x
  2. Step 2: Convert to fraction form
    1,023.77/1,411.24 = 802.33/x
  3. Step 3: Cross multiply
    1,023.77x = 1,411.24 × 802.33
  4. Step 4: Simplify right side
    1,023.77x = 1,132,280.19
  5. Step 5: Solve for x
    x = 1,132,280.19/1,023.77
  6. Step 6: Final answer
    x = 1,105.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.