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Finding the Fourth Proportional to 612.07, 917.31 and 534.67

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Solution

The fourth proportional to 612.07, 917.31 and 534.67 is: 801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.07 : 917.31 = 534.67 : x
  2. Step 2: Convert to fraction form
    612.07/917.31 = 534.67/x
  3. Step 3: Cross multiply
    612.07x = 917.31 × 534.67
  4. Step 4: Simplify right side
    612.07x = 490,458.14
  5. Step 5: Solve for x
    x = 490,458.14/612.07
  6. Step 6: Final answer
    x = 801.31

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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.