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Finding the Fourth Proportional to 1,423, 1,964.10 and 802.36

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Solution

The fourth proportional to 1,423, 1,964.10 and 802.36 is: 1,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423 : 1,964.10 = 802.36 : x
  2. Step 2: Convert to fraction form
    1,423/1,964.10 = 802.36/x
  3. Step 3: Cross multiply
    1,423x = 1,964.10 × 802.36
  4. Step 4: Simplify right side
    1,423x = 1,575,915.28
  5. Step 5: Solve for x
    x = 1,575,915.28/1,423
  6. Step 6: Final answer
    x = 1,107.46

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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.