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Finding the Fourth Proportional to 1,146, 1,719.72 and 462

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Solution

The fourth proportional to 1,146, 1,719.72 and 462 is: 693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146 : 1,719.72 = 462 : x
  2. Step 2: Convert to fraction form
    1,146/1,719.72 = 462/x
  3. Step 3: Cross multiply
    1,146x = 1,719.72 × 462
  4. Step 4: Simplify right side
    1,146x = 794,510.64
  5. Step 5: Solve for x
    x = 794,510.64/1,146
  6. Step 6: Final answer
    x = 693.29

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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.