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Finding the Fourth Proportional to 560.35, 840.83 and 378.10

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Solution

The fourth proportional to 560.35, 840.83 and 378.10 is: 567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.35 : 840.83 = 378.10 : x
  2. Step 2: Convert to fraction form
    560.35/840.83 = 378.10/x
  3. Step 3: Cross multiply
    560.35x = 840.83 × 378.10
  4. Step 4: Simplify right side
    560.35x = 317,917.82
  5. Step 5: Solve for x
    x = 317,917.82/560.35
  6. Step 6: Final answer
    x = 567.36

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Double scale
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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.