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Finding the Fourth Proportional to 1,564.78, 2,347.44 and 469.03

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Solution

The fourth proportional to 1,564.78, 2,347.44 and 469.03 is: 703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.78 : 2,347.44 = 469.03 : x
  2. Step 2: Convert to fraction form
    1,564.78/2,347.44 = 469.03/x
  3. Step 3: Cross multiply
    1,564.78x = 2,347.44 × 469.03
  4. Step 4: Simplify right side
    1,564.78x = 1,101,019.78
  5. Step 5: Solve for x
    x = 1,101,019.78/1,564.78
  6. Step 6: Final answer
    x = 703.63

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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.