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Finding the Fourth Proportional to 917.85, 1,374.78 and 477.77

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Solution

The fourth proportional to 917.85, 1,374.78 and 477.77 is: 715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.85 : 1,374.78 = 477.77 : x
  2. Step 2: Convert to fraction form
    917.85/1,374.78 = 477.77/x
  3. Step 3: Cross multiply
    917.85x = 1,374.78 × 477.77
  4. Step 4: Simplify right side
    917.85x = 656,828.64
  5. Step 5: Solve for x
    x = 656,828.64/917.85
  6. Step 6: Final answer
    x = 715.62

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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.