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Finding the Fourth Proportional to 560.92, 774.66 and 499.84

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Solution

The fourth proportional to 560.92, 774.66 and 499.84 is: 690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 774.66 = 499.84 : x
  2. Step 2: Convert to fraction form
    560.92/774.66 = 499.84/x
  3. Step 3: Cross multiply
    560.92x = 774.66 × 499.84
  4. Step 4: Simplify right side
    560.92x = 387,206.05
  5. Step 5: Solve for x
    x = 387,206.05/560.92
  6. Step 6: Final answer
    x = 690.31

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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.