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Finding the Fourth Proportional to 1,345.76, 2,017.41 and 479.87

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Solution

The fourth proportional to 1,345.76, 2,017.41 and 479.87 is: 719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.76 : 2,017.41 = 479.87 : x
  2. Step 2: Convert to fraction form
    1,345.76/2,017.41 = 479.87/x
  3. Step 3: Cross multiply
    1,345.76x = 2,017.41 × 479.87
  4. Step 4: Simplify right side
    1,345.76x = 968,088.59
  5. Step 5: Solve for x
    x = 968,088.59/1,345.76
  6. Step 6: Final answer
    x = 719.36

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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.