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Finding the Fourth Proportional to 917.15, 1,374.74 and 339.98

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Solution

The fourth proportional to 917.15, 1,374.74 and 339.98 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.15 : 1,374.74 = 339.98 : x
  2. Step 2: Convert to fraction form
    917.15/1,374.74 = 339.98/x
  3. Step 3: Cross multiply
    917.15x = 1,374.74 × 339.98
  4. Step 4: Simplify right side
    917.15x = 467,382.41
  5. Step 5: Solve for x
    x = 467,382.41/917.15
  6. Step 6: Final answer
    x = 509.60

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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.