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Finding the Fourth Proportional to 1,564.28, 2,347.08 and 698

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Solution

The fourth proportional to 1,564.28, 2,347.08 and 698 is: 1,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.28 : 2,347.08 = 698 : x
  2. Step 2: Convert to fraction form
    1,564.28/2,347.08 = 698/x
  3. Step 3: Cross multiply
    1,564.28x = 2,347.08 × 698
  4. Step 4: Simplify right side
    1,564.28x = 1,638,261.84
  5. Step 5: Solve for x
    x = 1,638,261.84/1,564.28
  6. Step 6: Final answer
    x = 1,047.29

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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.