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Finding the Fourth Proportional to 1,064.99, 1,469.78 and 592.87

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Solution

The fourth proportional to 1,064.99, 1,469.78 and 592.87 is: 818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.99 : 1,469.78 = 592.87 : x
  2. Step 2: Convert to fraction form
    1,064.99/1,469.78 = 592.87/x
  3. Step 3: Cross multiply
    1,064.99x = 1,469.78 × 592.87
  4. Step 4: Simplify right side
    1,064.99x = 871,388.47
  5. Step 5: Solve for x
    x = 871,388.47/1,064.99
  6. Step 6: Final answer
    x = 818.21

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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.