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Finding the Fourth Proportional to 1,538.59, 2,308.23 and 564.70

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Solution

The fourth proportional to 1,538.59, 2,308.23 and 564.70 is: 847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.59 : 2,308.23 = 564.70 : x
  2. Step 2: Convert to fraction form
    1,538.59/2,308.23 = 564.70/x
  3. Step 3: Cross multiply
    1,538.59x = 2,308.23 × 564.70
  4. Step 4: Simplify right side
    1,538.59x = 1,303,457.48
  5. Step 5: Solve for x
    x = 1,303,457.48/1,538.59
  6. Step 6: Final answer
    x = 847.18

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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.