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Finding the Fourth Proportional to 575.92, 859.32 and 570.40

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Solution

The fourth proportional to 575.92, 859.32 and 570.40 is: 851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 859.32 = 570.40 : x
  2. Step 2: Convert to fraction form
    575.92/859.32 = 570.40/x
  3. Step 3: Cross multiply
    575.92x = 859.32 × 570.40
  4. Step 4: Simplify right side
    575.92x = 490,156.13
  5. Step 5: Solve for x
    x = 490,156.13/575.92
  6. Step 6: Final answer
    x = 851.08

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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.