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Finding the Fourth Proportional to 560.50, 770.01 and 502.28

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Solution

The fourth proportional to 560.50, 770.01 and 502.28 is: 690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.50 : 770.01 = 502.28 : x
  2. Step 2: Convert to fraction form
    560.50/770.01 = 502.28/x
  3. Step 3: Cross multiply
    560.50x = 770.01 × 502.28
  4. Step 4: Simplify right side
    560.50x = 386,760.62
  5. Step 5: Solve for x
    x = 386,760.62/560.50
  6. Step 6: Final answer
    x = 690.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.