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Finding the Fourth Proportional to 918.36, 1,264.77 and 761.67

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Solution

The fourth proportional to 918.36, 1,264.77 and 761.67 is: 1,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.36 : 1,264.77 = 761.67 : x
  2. Step 2: Convert to fraction form
    918.36/1,264.77 = 761.67/x
  3. Step 3: Cross multiply
    918.36x = 1,264.77 × 761.67
  4. Step 4: Simplify right side
    918.36x = 963,337.37
  5. Step 5: Solve for x
    x = 963,337.37/918.36
  6. Step 6: Final answer
    x = 1,048.98

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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.