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Finding the Fourth Proportional to 560.23, 770.77 and 493.54

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Solution

The fourth proportional to 560.23, 770.77 and 493.54 is: 679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 770.77 = 493.54 : x
  2. Step 2: Convert to fraction form
    560.23/770.77 = 493.54/x
  3. Step 3: Cross multiply
    560.23x = 770.77 × 493.54
  4. Step 4: Simplify right side
    560.23x = 380,405.83
  5. Step 5: Solve for x
    x = 380,405.83/560.23
  6. Step 6: Final answer
    x = 679.02

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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.