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Finding the Fourth Proportional to 1,442.16, 1,989.36 and 917.28

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Solution

The fourth proportional to 1,442.16, 1,989.36 and 917.28 is: 1,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.16 : 1,989.36 = 917.28 : x
  2. Step 2: Convert to fraction form
    1,442.16/1,989.36 = 917.28/x
  3. Step 3: Cross multiply
    1,442.16x = 1,989.36 × 917.28
  4. Step 4: Simplify right side
    1,442.16x = 1,824,800.14
  5. Step 5: Solve for x
    x = 1,824,800.14/1,442.16
  6. Step 6: Final answer
    x = 1,265.32

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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.