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Finding the Fourth Proportional to 1,095.02, 1,643.08 and 547.28

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Solution

The fourth proportional to 1,095.02, 1,643.08 and 547.28 is: 821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.02 : 1,643.08 = 547.28 : x
  2. Step 2: Convert to fraction form
    1,095.02/1,643.08 = 547.28/x
  3. Step 3: Cross multiply
    1,095.02x = 1,643.08 × 547.28
  4. Step 4: Simplify right side
    1,095.02x = 899,224.82
  5. Step 5: Solve for x
    x = 899,224.82/1,095.02
  6. Step 6: Final answer
    x = 821.19

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.