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Finding the Fourth Proportional to 575.28, 859.02 and 569.40

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Solution

The fourth proportional to 575.28, 859.02 and 569.40 is: 850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.28 : 859.02 = 569.40 : x
  2. Step 2: Convert to fraction form
    575.28/859.02 = 569.40/x
  3. Step 3: Cross multiply
    575.28x = 859.02 × 569.40
  4. Step 4: Simplify right side
    575.28x = 489,125.99
  5. Step 5: Solve for x
    x = 489,125.99/575.28
  6. Step 6: Final answer
    x = 850.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.