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Finding the Fourth Proportional to 895.65, 1,236.33 and 802.23

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Solution

The fourth proportional to 895.65, 1,236.33 and 802.23 is: 1,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.65 : 1,236.33 = 802.23 : x
  2. Step 2: Convert to fraction form
    895.65/1,236.33 = 802.23/x
  3. Step 3: Cross multiply
    895.65x = 1,236.33 × 802.23
  4. Step 4: Simplify right side
    895.65x = 991,821.02
  5. Step 5: Solve for x
    x = 991,821.02/895.65
  6. Step 6: Final answer
    x = 1,107.38

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Half scale
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Double scale
Find fourth proportional to 896.65, 1,237.71 and 803.23
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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.