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Finding the Fourth Proportional to 906.42, 1,357.55 and 472.50

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Solution

The fourth proportional to 906.42, 1,357.55 and 472.50 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.42 : 1,357.55 = 472.50 : x
  2. Step 2: Convert to fraction form
    906.42/1,357.55 = 472.50/x
  3. Step 3: Cross multiply
    906.42x = 1,357.55 × 472.50
  4. Step 4: Simplify right side
    906.42x = 641,442.38
  5. Step 5: Solve for x
    x = 641,442.38/906.42
  6. Step 6: Final answer
    x = 707.67

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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.