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Finding the Fourth Proportional to 1,095.57, 1,512.08 and 647.42

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Solution

The fourth proportional to 1,095.57, 1,512.08 and 647.42 is: 893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.57 : 1,512.08 = 647.42 : x
  2. Step 2: Convert to fraction form
    1,095.57/1,512.08 = 647.42/x
  3. Step 3: Cross multiply
    1,095.57x = 1,512.08 × 647.42
  4. Step 4: Simplify right side
    1,095.57x = 978,941.45
  5. Step 5: Solve for x
    x = 978,941.45/1,095.57
  6. Step 6: Final answer
    x = 893.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.