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Finding the Fourth Proportional to 560.12, 773.12 and 339.16

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Solution

The fourth proportional to 560.12, 773.12 and 339.16 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.12 : 773.12 = 339.16 : x
  2. Step 2: Convert to fraction form
    560.12/773.12 = 339.16/x
  3. Step 3: Cross multiply
    560.12x = 773.12 × 339.16
  4. Step 4: Simplify right side
    560.12x = 262,211.38
  5. Step 5: Solve for x
    x = 262,211.38/560.12
  6. Step 6: Final answer
    x = 468.13

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Half scale
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Double scale
Find fourth proportional to 561.12, 774.50 and 340.16
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.