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Finding the Fourth Proportional to 918.82, 1,267.65 and 545.91

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Solution

The fourth proportional to 918.82, 1,267.65 and 545.91 is: 753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.82 : 1,267.65 = 545.91 : x
  2. Step 2: Convert to fraction form
    918.82/1,267.65 = 545.91/x
  3. Step 3: Cross multiply
    918.82x = 1,267.65 × 545.91
  4. Step 4: Simplify right side
    918.82x = 692,022.81
  5. Step 5: Solve for x
    x = 692,022.81/918.82
  6. Step 6: Final answer
    x = 753.16

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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.