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Finding the Fourth Proportional to 516.16, 770.40 and 464.32

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Solution

The fourth proportional to 516.16, 770.40 and 464.32 is: 693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 770.40 = 464.32 : x
  2. Step 2: Convert to fraction form
    516.16/770.40 = 464.32/x
  3. Step 3: Cross multiply
    516.16x = 770.40 × 464.32
  4. Step 4: Simplify right side
    516.16x = 357,712.13
  5. Step 5: Solve for x
    x = 357,712.13/516.16
  6. Step 6: Final answer
    x = 693.03

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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.