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Finding the Fourth Proportional to 1,660.18, 2,490.58 and 564.26

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Solution

The fourth proportional to 1,660.18, 2,490.58 and 564.26 is: 846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.18 : 2,490.58 = 564.26 : x
  2. Step 2: Convert to fraction form
    1,660.18/2,490.58 = 564.26/x
  3. Step 3: Cross multiply
    1,660.18x = 2,490.58 × 564.26
  4. Step 4: Simplify right side
    1,660.18x = 1,405,334.67
  5. Step 5: Solve for x
    x = 1,405,334.67/1,660.18
  6. Step 6: Final answer
    x = 846.50

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1.5x scale

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.