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Finding the Fourth Proportional to 560.25, 773.16 and 339.23

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Solution

The fourth proportional to 560.25, 773.16 and 339.23 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 773.16 = 339.23 : x
  2. Step 2: Convert to fraction form
    560.25/773.16 = 339.23/x
  3. Step 3: Cross multiply
    560.25x = 773.16 × 339.23
  4. Step 4: Simplify right side
    560.25x = 262,273.50
  5. Step 5: Solve for x
    x = 262,273.50/560.25
  6. Step 6: Final answer
    x = 468.14

Related Problems

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Double scale
Find fourth proportional to 561.25, 774.54 and 340.23
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.