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Finding the Fourth Proportional to 918.62, 1,267.70 and 498.98

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Solution

The fourth proportional to 918.62, 1,267.70 and 498.98 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.62 : 1,267.70 = 498.98 : x
  2. Step 2: Convert to fraction form
    918.62/1,267.70 = 498.98/x
  3. Step 3: Cross multiply
    918.62x = 1,267.70 × 498.98
  4. Step 4: Simplify right side
    918.62x = 632,551.19
  5. Step 5: Solve for x
    x = 632,551.19/918.62
  6. Step 6: Final answer
    x = 688.59

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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.