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Finding the Fourth Proportional to 560.10, 840.30 and 398.10

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Solution

The fourth proportional to 560.10, 840.30 and 398.10 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.10 : 840.30 = 398.10 : x
  2. Step 2: Convert to fraction form
    560.10/840.30 = 398.10/x
  3. Step 3: Cross multiply
    560.10x = 840.30 × 398.10
  4. Step 4: Simplify right side
    560.10x = 334,523.43
  5. Step 5: Solve for x
    x = 334,523.43/560.10
  6. Step 6: Final answer
    x = 597.26

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.