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Finding the Fourth Proportional to 523.63, 783.90 and 458.76

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Solution

The fourth proportional to 523.63, 783.90 and 458.76 is: 686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 783.90 = 458.76 : x
  2. Step 2: Convert to fraction form
    523.63/783.90 = 458.76/x
  3. Step 3: Cross multiply
    523.63x = 783.90 × 458.76
  4. Step 4: Simplify right side
    523.63x = 359,621.96
  5. Step 5: Solve for x
    x = 359,621.96/523.63
  6. Step 6: Final answer
    x = 686.79

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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.