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Finding the Fourth Proportional to 1,028.07, 1,539.68 and 565.16

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Solution

The fourth proportional to 1,028.07, 1,539.68 and 565.16 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.07 : 1,539.68 = 565.16 : x
  2. Step 2: Convert to fraction form
    1,028.07/1,539.68 = 565.16/x
  3. Step 3: Cross multiply
    1,028.07x = 1,539.68 × 565.16
  4. Step 4: Simplify right side
    1,028.07x = 870,155.02
  5. Step 5: Solve for x
    x = 870,155.02/1,028.07
  6. Step 6: Final answer
    x = 846.40

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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.