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Finding the Fourth Proportional to 660.54, 910.40 and 571.85

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Solution

The fourth proportional to 660.54, 910.40 and 571.85 is: 788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.54 : 910.40 = 571.85 : x
  2. Step 2: Convert to fraction form
    660.54/910.40 = 571.85/x
  3. Step 3: Cross multiply
    660.54x = 910.40 × 571.85
  4. Step 4: Simplify right side
    660.54x = 520,612.24
  5. Step 5: Solve for x
    x = 520,612.24/660.54
  6. Step 6: Final answer
    x = 788.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.