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Finding the Fourth Proportional to 614.99, 917.60 and 571.44

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Solution

The fourth proportional to 614.99, 917.60 and 571.44 is: 852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.99 : 917.60 = 571.44 : x
  2. Step 2: Convert to fraction form
    614.99/917.60 = 571.44/x
  3. Step 3: Cross multiply
    614.99x = 917.60 × 571.44
  4. Step 4: Simplify right side
    614.99x = 524,356.07
  5. Step 5: Solve for x
    x = 524,356.07/614.99
  6. Step 6: Final answer
    x = 852.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.