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Finding the Fourth Proportional to 487.96, 730.55 and 384.68

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Solution

The fourth proportional to 487.96, 730.55 and 384.68 is: 575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 730.55 = 384.68 : x
  2. Step 2: Convert to fraction form
    487.96/730.55 = 384.68/x
  3. Step 3: Cross multiply
    487.96x = 730.55 × 384.68
  4. Step 4: Simplify right side
    487.96x = 281,030.76
  5. Step 5: Solve for x
    x = 281,030.76/487.96
  6. Step 6: Final answer
    x = 575.93

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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.