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Finding the Fourth Proportional to 918.69, 1,267.45 and 587.08

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Solution

The fourth proportional to 918.69, 1,267.45 and 587.08 is: 809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.69 : 1,267.45 = 587.08 : x
  2. Step 2: Convert to fraction form
    918.69/1,267.45 = 587.08/x
  3. Step 3: Cross multiply
    918.69x = 1,267.45 × 587.08
  4. Step 4: Simplify right side
    918.69x = 744,094.55
  5. Step 5: Solve for x
    x = 744,094.55/918.69
  6. Step 6: Final answer
    x = 809.95

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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.