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Finding the Fourth Proportional to 660.77, 909.79 and 560.98

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Solution

The fourth proportional to 660.77, 909.79 and 560.98 is: 772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.77 : 909.79 = 560.98 : x
  2. Step 2: Convert to fraction form
    660.77/909.79 = 560.98/x
  3. Step 3: Cross multiply
    660.77x = 909.79 × 560.98
  4. Step 4: Simplify right side
    660.77x = 510,375.83
  5. Step 5: Solve for x
    x = 510,375.83/660.77
  6. Step 6: Final answer
    x = 772.39

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1.5x scale

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.