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Finding the Fourth Proportional to 560.78, 841.05 and 213.87

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Solution

The fourth proportional to 560.78, 841.05 and 213.87 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.78 : 841.05 = 213.87 : x
  2. Step 2: Convert to fraction form
    560.78/841.05 = 213.87/x
  3. Step 3: Cross multiply
    560.78x = 841.05 × 213.87
  4. Step 4: Simplify right side
    560.78x = 179,875.36
  5. Step 5: Solve for x
    x = 179,875.36/560.78
  6. Step 6: Final answer
    x = 320.76

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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.