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Finding the Fourth Proportional to 918.47, 1,267.77 and 587.78

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Solution

The fourth proportional to 918.47, 1,267.77 and 587.78 is: 811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.47 : 1,267.77 = 587.78 : x
  2. Step 2: Convert to fraction form
    918.47/1,267.77 = 587.78/x
  3. Step 3: Cross multiply
    918.47x = 1,267.77 × 587.78
  4. Step 4: Simplify right side
    918.47x = 745,173.02
  5. Step 5: Solve for x
    x = 745,173.02/918.47
  6. Step 6: Final answer
    x = 811.32

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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.