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Finding the Fourth Proportional to 1,095.89, 1,643.93 and 365.47

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Solution

The fourth proportional to 1,095.89, 1,643.93 and 365.47 is: 548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.89 : 1,643.93 = 365.47 : x
  2. Step 2: Convert to fraction form
    1,095.89/1,643.93 = 365.47/x
  3. Step 3: Cross multiply
    1,095.89x = 1,643.93 × 365.47
  4. Step 4: Simplify right side
    1,095.89x = 600,807.10
  5. Step 5: Solve for x
    x = 600,807.10/1,095.89
  6. Step 6: Final answer
    x = 548.24

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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.