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Finding the Fourth Proportional to 802.77, 1,201.93 and 411.93

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Solution

The fourth proportional to 802.77, 1,201.93 and 411.93 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.77 : 1,201.93 = 411.93 : x
  2. Step 2: Convert to fraction form
    802.77/1,201.93 = 411.93/x
  3. Step 3: Cross multiply
    802.77x = 1,201.93 × 411.93
  4. Step 4: Simplify right side
    802.77x = 495,111.02
  5. Step 5: Solve for x
    x = 495,111.02/802.77
  6. Step 6: Final answer
    x = 616.75

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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.