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Finding the Fourth Proportional to 917.35, 1,374.98 and 455.45

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Solution

The fourth proportional to 917.35, 1,374.98 and 455.45 is: 682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.35 : 1,374.98 = 455.45 : x
  2. Step 2: Convert to fraction form
    917.35/1,374.98 = 455.45/x
  3. Step 3: Cross multiply
    917.35x = 1,374.98 × 455.45
  4. Step 4: Simplify right side
    917.35x = 626,239.22
  5. Step 5: Solve for x
    x = 626,239.22/917.35
  6. Step 6: Final answer
    x = 682.66

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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.