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Finding the Fourth Proportional to 514.90, 709.14 and 383.68

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Solution

The fourth proportional to 514.90, 709.14 and 383.68 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 709.14 = 383.68 : x
  2. Step 2: Convert to fraction form
    514.90/709.14 = 383.68/x
  3. Step 3: Cross multiply
    514.90x = 709.14 × 383.68
  4. Step 4: Simplify right side
    514.90x = 272,082.84
  5. Step 5: Solve for x
    x = 272,082.84/514.90
  6. Step 6: Final answer
    x = 528.42

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1.5x scale

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.