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Finding the Fourth Proportional to 918.04, 1,264.17 and 817

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Solution

The fourth proportional to 918.04, 1,264.17 and 817 is: 1,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.04 : 1,264.17 = 817 : x
  2. Step 2: Convert to fraction form
    918.04/1,264.17 = 817/x
  3. Step 3: Cross multiply
    918.04x = 1,264.17 × 817
  4. Step 4: Simplify right side
    918.04x = 1,032,826.89
  5. Step 5: Solve for x
    x = 1,032,826.89/918.04
  6. Step 6: Final answer
    x = 1,125.03

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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.