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Finding the Fourth Proportional to 1,423.24, 1,964.09 and 802.24

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Solution

The fourth proportional to 1,423.24, 1,964.09 and 802.24 is: 1,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.24 : 1,964.09 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,423.24/1,964.09 = 802.24/x
  3. Step 3: Cross multiply
    1,423.24x = 1,964.09 × 802.24
  4. Step 4: Simplify right side
    1,423.24x = 1,575,671.56
  5. Step 5: Solve for x
    x = 1,575,671.56/1,423.24
  6. Step 6: Final answer
    x = 1,107.10

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1.5x scale

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.