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Finding the Fourth Proportional to 918.16, 1,376.34 and 431.62

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Solution

The fourth proportional to 918.16, 1,376.34 and 431.62 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,376.34 = 431.62 : x
  2. Step 2: Convert to fraction form
    918.16/1,376.34 = 431.62/x
  3. Step 3: Cross multiply
    918.16x = 1,376.34 × 431.62
  4. Step 4: Simplify right side
    918.16x = 594,055.87
  5. Step 5: Solve for x
    x = 594,055.87/918.16
  6. Step 6: Final answer
    x = 647.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.