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Finding the Fourth Proportional to 514.57, 708.33 and 390.01

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Solution

The fourth proportional to 514.57, 708.33 and 390.01 is: 536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.57 : 708.33 = 390.01 : x
  2. Step 2: Convert to fraction form
    514.57/708.33 = 390.01/x
  3. Step 3: Cross multiply
    514.57x = 708.33 × 390.01
  4. Step 4: Simplify right side
    514.57x = 276,255.78
  5. Step 5: Solve for x
    x = 276,255.78/514.57
  6. Step 6: Final answer
    x = 536.87

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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.