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Finding the Fourth Proportional to 895.47, 1,236.30 and 802.05

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Solution

The fourth proportional to 895.47, 1,236.30 and 802.05 is: 1,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.47 : 1,236.30 = 802.05 : x
  2. Step 2: Convert to fraction form
    895.47/1,236.30 = 802.05/x
  3. Step 3: Cross multiply
    895.47x = 1,236.30 × 802.05
  4. Step 4: Simplify right side
    895.47x = 991,574.42
  5. Step 5: Solve for x
    x = 991,574.42/895.47
  6. Step 6: Final answer
    x = 1,107.32

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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.