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Finding the Fourth Proportional to 1,345.56, 2,018.28 and 468.68

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Solution

The fourth proportional to 1,345.56, 2,018.28 and 468.68 is: 703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.56 : 2,018.28 = 468.68 : x
  2. Step 2: Convert to fraction form
    1,345.56/2,018.28 = 468.68/x
  3. Step 3: Cross multiply
    1,345.56x = 2,018.28 × 468.68
  4. Step 4: Simplify right side
    1,345.56x = 945,927.47
  5. Step 5: Solve for x
    x = 945,927.47/1,345.56
  6. Step 6: Final answer
    x = 703.00

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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.