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Finding the Fourth Proportional to 851.78, 1,175.47 and 473.67

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Solution

The fourth proportional to 851.78, 1,175.47 and 473.67 is: 653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.78 : 1,175.47 = 473.67 : x
  2. Step 2: Convert to fraction form
    851.78/1,175.47 = 473.67/x
  3. Step 3: Cross multiply
    851.78x = 1,175.47 × 473.67
  4. Step 4: Simplify right side
    851.78x = 556,784.87
  5. Step 5: Solve for x
    x = 556,784.87/851.78
  6. Step 6: Final answer
    x = 653.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.