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Finding the Fourth Proportional to 917.06, 1,265.94 and 581.27

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Solution

The fourth proportional to 917.06, 1,265.94 and 581.27 is: 802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.06 : 1,265.94 = 581.27 : x
  2. Step 2: Convert to fraction form
    917.06/1,265.94 = 581.27/x
  3. Step 3: Cross multiply
    917.06x = 1,265.94 × 581.27
  4. Step 4: Simplify right side
    917.06x = 735,846.61
  5. Step 5: Solve for x
    x = 735,846.61/917.06
  6. Step 6: Final answer
    x = 802.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.