Home / 1,423.25-1,964.10-802.25

Finding the Fourth Proportional to 1,423.25, 1,964.10 and 802.25

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Solution

The fourth proportional to 1,423.25, 1,964.10 and 802.25 is: 1,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.25 : 1,964.10 = 802.25 : x
  2. Step 2: Convert to fraction form
    1,423.25/1,964.10 = 802.25/x
  3. Step 3: Cross multiply
    1,423.25x = 1,964.10 × 802.25
  4. Step 4: Simplify right side
    1,423.25x = 1,575,699.23
  5. Step 5: Solve for x
    x = 1,575,699.23/1,423.25
  6. Step 6: Final answer
    x = 1,107.11

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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.