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Finding the Fourth Proportional to 1,345.81, 2,018.90 and 479.83

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Solution

The fourth proportional to 1,345.81, 2,018.90 and 479.83 is: 719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.81 : 2,018.90 = 479.83 : x
  2. Step 2: Convert to fraction form
    1,345.81/2,018.90 = 479.83/x
  3. Step 3: Cross multiply
    1,345.81x = 2,018.90 × 479.83
  4. Step 4: Simplify right side
    1,345.81x = 968,726.39
  5. Step 5: Solve for x
    x = 968,726.39/1,345.81
  6. Step 6: Final answer
    x = 719.81

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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.