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Finding the Fourth Proportional to 560.34, 837.36 and 376.20

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Solution

The fourth proportional to 560.34, 837.36 and 376.20 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.34 : 837.36 = 376.20 : x
  2. Step 2: Convert to fraction form
    560.34/837.36 = 376.20/x
  3. Step 3: Cross multiply
    560.34x = 837.36 × 376.20
  4. Step 4: Simplify right side
    560.34x = 315,014.83
  5. Step 5: Solve for x
    x = 315,014.83/560.34
  6. Step 6: Final answer
    x = 562.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.