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Finding the Fourth Proportional to 918.51, 1,267.55 and 498.87

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Solution

The fourth proportional to 918.51, 1,267.55 and 498.87 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.51 : 1,267.55 = 498.87 : x
  2. Step 2: Convert to fraction form
    918.51/1,267.55 = 498.87/x
  3. Step 3: Cross multiply
    918.51x = 1,267.55 × 498.87
  4. Step 4: Simplify right side
    918.51x = 632,337.29
  5. Step 5: Solve for x
    x = 632,337.29/918.51
  6. Step 6: Final answer
    x = 688.44

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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.