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Finding the Fourth Proportional to 1,109.02, 1,529.84 and 643.18

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Solution

The fourth proportional to 1,109.02, 1,529.84 and 643.18 is: 887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.02 : 1,529.84 = 643.18 : x
  2. Step 2: Convert to fraction form
    1,109.02/1,529.84 = 643.18/x
  3. Step 3: Cross multiply
    1,109.02x = 1,529.84 × 643.18
  4. Step 4: Simplify right side
    1,109.02x = 983,962.49
  5. Step 5: Solve for x
    x = 983,962.49/1,109.02
  6. Step 6: Final answer
    x = 887.24

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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.