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Finding the Fourth Proportional to 571.18, 852.20 and 509.62

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Solution

The fourth proportional to 571.18, 852.20 and 509.62 is: 760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.18 : 852.20 = 509.62 : x
  2. Step 2: Convert to fraction form
    571.18/852.20 = 509.62/x
  3. Step 3: Cross multiply
    571.18x = 852.20 × 509.62
  4. Step 4: Simplify right side
    571.18x = 434,298.16
  5. Step 5: Solve for x
    x = 434,298.16/571.18
  6. Step 6: Final answer
    x = 760.35

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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.