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Finding the Fourth Proportional to 514.79, 770.24 and 313.69

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Solution

The fourth proportional to 514.79, 770.24 and 313.69 is: 469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.79 : 770.24 = 313.69 : x
  2. Step 2: Convert to fraction form
    514.79/770.24 = 313.69/x
  3. Step 3: Cross multiply
    514.79x = 770.24 × 313.69
  4. Step 4: Simplify right side
    514.79x = 241,615.02
  5. Step 5: Solve for x
    x = 241,615.02/514.79
  6. Step 6: Final answer
    x = 469.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.