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Finding the Fourth Proportional to 1,017.32, 1,403.16 and 644.36

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Solution

The fourth proportional to 1,017.32, 1,403.16 and 644.36 is: 888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.32 : 1,403.16 = 644.36 : x
  2. Step 2: Convert to fraction form
    1,017.32/1,403.16 = 644.36/x
  3. Step 3: Cross multiply
    1,017.32x = 1,403.16 × 644.36
  4. Step 4: Simplify right side
    1,017.32x = 904,140.18
  5. Step 5: Solve for x
    x = 904,140.18/1,017.32
  6. Step 6: Final answer
    x = 888.75

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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.