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Finding the Fourth Proportional to 918.57, 1,267.60 and 498.91

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Solution

The fourth proportional to 918.57, 1,267.60 and 498.91 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.57 : 1,267.60 = 498.91 : x
  2. Step 2: Convert to fraction form
    918.57/1,267.60 = 498.91/x
  3. Step 3: Cross multiply
    918.57x = 1,267.60 × 498.91
  4. Step 4: Simplify right side
    918.57x = 632,418.32
  5. Step 5: Solve for x
    x = 632,418.32/918.57
  6. Step 6: Final answer
    x = 688.48

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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.