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Finding the Fourth Proportional to 560.17, 838.83 and 468.64

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Solution

The fourth proportional to 560.17, 838.83 and 468.64 is: 701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.17 : 838.83 = 468.64 : x
  2. Step 2: Convert to fraction form
    560.17/838.83 = 468.64/x
  3. Step 3: Cross multiply
    560.17x = 838.83 × 468.64
  4. Step 4: Simplify right side
    560.17x = 393,109.29
  5. Step 5: Solve for x
    x = 393,109.29/560.17
  6. Step 6: Final answer
    x = 701.77

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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.