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Finding the Fourth Proportional to 559.66, 838.50 and 477.67

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Solution

The fourth proportional to 559.66, 838.50 and 477.67 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.66 : 838.50 = 477.67 : x
  2. Step 2: Convert to fraction form
    559.66/838.50 = 477.67/x
  3. Step 3: Cross multiply
    559.66x = 838.50 × 477.67
  4. Step 4: Simplify right side
    559.66x = 400,526.30
  5. Step 5: Solve for x
    x = 400,526.30/559.66
  6. Step 6: Final answer
    x = 715.66

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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.