Home / 1,423.85-1,964.89-802.85

Finding the Fourth Proportional to 1,423.85, 1,964.89 and 802.85

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Solution

The fourth proportional to 1,423.85, 1,964.89 and 802.85 is: 1,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 1,964.89 = 802.85 : x
  2. Step 2: Convert to fraction form
    1,423.85/1,964.89 = 802.85/x
  3. Step 3: Cross multiply
    1,423.85x = 1,964.89 × 802.85
  4. Step 4: Simplify right side
    1,423.85x = 1,577,503.12
  5. Step 5: Solve for x
    x = 1,577,503.12/1,423.85
  6. Step 6: Final answer
    x = 1,107.92

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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.