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Finding the Fourth Proportional to 917.51, 1,376.72 and 398.00

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Solution

The fourth proportional to 917.51, 1,376.72 and 398.00 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.51 : 1,376.72 = 398.00 : x
  2. Step 2: Convert to fraction form
    917.51/1,376.72 = 398.00/x
  3. Step 3: Cross multiply
    917.51x = 1,376.72 × 398.00
  4. Step 4: Simplify right side
    917.51x = 547,925.69
  5. Step 5: Solve for x
    x = 547,925.69/917.51
  6. Step 6: Final answer
    x = 597.19

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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.