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Finding the Fourth Proportional to 917.46, 1,374.93 and 340.02

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Solution

The fourth proportional to 917.46, 1,374.93 and 340.02 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.46 : 1,374.93 = 340.02 : x
  2. Step 2: Convert to fraction form
    917.46/1,374.93 = 340.02/x
  3. Step 3: Cross multiply
    917.46x = 1,374.93 × 340.02
  4. Step 4: Simplify right side
    917.46x = 467,503.70
  5. Step 5: Solve for x
    x = 467,503.70/917.46
  6. Step 6: Final answer
    x = 509.56

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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.