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Finding the Fourth Proportional to 2,470.13, 3,705.06 and 621.20

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Solution

The fourth proportional to 2,470.13, 3,705.06 and 621.20 is: 931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.13 : 3,705.06 = 621.20 : x
  2. Step 2: Convert to fraction form
    2,470.13/3,705.06 = 621.20/x
  3. Step 3: Cross multiply
    2,470.13x = 3,705.06 × 621.20
  4. Step 4: Simplify right side
    2,470.13x = 2,301,564.75
  5. Step 5: Solve for x
    x = 2,301,564.75/2,470.13
  6. Step 6: Final answer
    x = 931.76

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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.