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Finding the Fourth Proportional to 519.54, 715.39 and 463.51

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Solution

The fourth proportional to 519.54, 715.39 and 463.51 is: 638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 715.39 = 463.51 : x
  2. Step 2: Convert to fraction form
    519.54/715.39 = 463.51/x
  3. Step 3: Cross multiply
    519.54x = 715.39 × 463.51
  4. Step 4: Simplify right side
    519.54x = 331,590.42
  5. Step 5: Solve for x
    x = 331,590.42/519.54
  6. Step 6: Final answer
    x = 638.24

Related Problems

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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.