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Finding the Fourth Proportional to 918.29, 1,267.23 and 498.65

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Solution

The fourth proportional to 918.29, 1,267.23 and 498.65 is: 688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.29 : 1,267.23 = 498.65 : x
  2. Step 2: Convert to fraction form
    918.29/1,267.23 = 498.65/x
  3. Step 3: Cross multiply
    918.29x = 1,267.23 × 498.65
  4. Step 4: Simplify right side
    918.29x = 631,907.41
  5. Step 5: Solve for x
    x = 631,907.41/918.29
  6. Step 6: Final answer
    x = 688.13

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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.