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Finding the Fourth Proportional to 1,539.16, 2,308.76 and 564.64

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Solution

The fourth proportional to 1,539.16, 2,308.76 and 564.64 is: 846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.16 : 2,308.76 = 564.64 : x
  2. Step 2: Convert to fraction form
    1,539.16/2,308.76 = 564.64/x
  3. Step 3: Cross multiply
    1,539.16x = 2,308.76 × 564.64
  4. Step 4: Simplify right side
    1,539.16x = 1,303,618.25
  5. Step 5: Solve for x
    x = 1,303,618.25/1,539.16
  6. Step 6: Final answer
    x = 846.97

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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.