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Finding the Fourth Proportional to 1,423.08, 1,963.86 and 802.08

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Solution

The fourth proportional to 1,423.08, 1,963.86 and 802.08 is: 1,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.08 : 1,963.86 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,423.08/1,963.86 = 802.08/x
  3. Step 3: Cross multiply
    1,423.08x = 1,963.86 × 802.08
  4. Step 4: Simplify right side
    1,423.08x = 1,575,172.83
  5. Step 5: Solve for x
    x = 1,575,172.83/1,423.08
  6. Step 6: Final answer
    x = 1,106.88

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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.