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Finding the Fourth Proportional to 560.92, 773.22 and 456.52

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Solution

The fourth proportional to 560.92, 773.22 and 456.52 is: 629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.92 : 773.22 = 456.52 : x
  2. Step 2: Convert to fraction form
    560.92/773.22 = 456.52/x
  3. Step 3: Cross multiply
    560.92x = 773.22 × 456.52
  4. Step 4: Simplify right side
    560.92x = 352,990.39
  5. Step 5: Solve for x
    x = 352,990.39/560.92
  6. Step 6: Final answer
    x = 629.31

Related Problems

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Double scale
Find fourth proportional to 561.92, 774.60 and 457.52
Similar ratio
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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.