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Finding the Fourth Proportional to 520.89, 718.47 and 381.42

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Solution

The fourth proportional to 520.89, 718.47 and 381.42 is: 526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 718.47 = 381.42 : x
  2. Step 2: Convert to fraction form
    520.89/718.47 = 381.42/x
  3. Step 3: Cross multiply
    520.89x = 718.47 × 381.42
  4. Step 4: Simplify right side
    520.89x = 274,038.83
  5. Step 5: Solve for x
    x = 274,038.83/520.89
  6. Step 6: Final answer
    x = 526.10

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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.