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Finding the Fourth Proportional to 960.00, 1,442.74 and 570.10

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Solution

The fourth proportional to 960.00, 1,442.74 and 570.10 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.00 : 1,442.74 = 570.10 : x
  2. Step 2: Convert to fraction form
    960.00/1,442.74 = 570.10/x
  3. Step 3: Cross multiply
    960.00x = 1,442.74 × 570.10
  4. Step 4: Simplify right side
    960.00x = 822,505.24
  5. Step 5: Solve for x
    x = 822,505.24/960.00
  6. Step 6: Final answer
    x = 856.77

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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.