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Finding the Fourth Proportional to 612.54, 917.78 and 438.32

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Solution

The fourth proportional to 612.54, 917.78 and 438.32 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.54 : 917.78 = 438.32 : x
  2. Step 2: Convert to fraction form
    612.54/917.78 = 438.32/x
  3. Step 3: Cross multiply
    612.54x = 917.78 × 438.32
  4. Step 4: Simplify right side
    612.54x = 402,281.33
  5. Step 5: Solve for x
    x = 402,281.33/612.54
  6. Step 6: Final answer
    x = 656.74

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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.