Home / 1,423.98-1,965.09-802.98

Finding the Fourth Proportional to 1,423.98, 1,965.09 and 802.98

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Solution

The fourth proportional to 1,423.98, 1,965.09 and 802.98 is: 1,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.98 : 1,965.09 = 802.98 : x
  2. Step 2: Convert to fraction form
    1,423.98/1,965.09 = 802.98/x
  3. Step 3: Cross multiply
    1,423.98x = 1,965.09 × 802.98
  4. Step 4: Simplify right side
    1,423.98x = 1,577,927.97
  5. Step 5: Solve for x
    x = 1,577,927.97/1,423.98
  6. Step 6: Final answer
    x = 1,108.11

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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.