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Finding the Fourth Proportional to 1,345.63, 2,018.61 and 479.95

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Solution

The fourth proportional to 1,345.63, 2,018.61 and 479.95 is: 719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.63 : 2,018.61 = 479.95 : x
  2. Step 2: Convert to fraction form
    1,345.63/2,018.61 = 479.95/x
  3. Step 3: Cross multiply
    1,345.63x = 2,018.61 × 479.95
  4. Step 4: Simplify right side
    1,345.63x = 968,821.78
  5. Step 5: Solve for x
    x = 968,821.78/1,345.63
  6. Step 6: Final answer
    x = 719.98

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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.