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Finding the Fourth Proportional to 1,345.49, 2,018.08 and 467.84

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Solution

The fourth proportional to 1,345.49, 2,018.08 and 467.84 is: 701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.49 : 2,018.08 = 467.84 : x
  2. Step 2: Convert to fraction form
    1,345.49/2,018.08 = 467.84/x
  3. Step 3: Cross multiply
    1,345.49x = 2,018.08 × 467.84
  4. Step 4: Simplify right side
    1,345.49x = 944,127.29
  5. Step 5: Solve for x
    x = 944,127.29/1,345.49
  6. Step 6: Final answer
    x = 701.70

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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.