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Finding the Fourth Proportional to 918.65, 1,376.55 and 431.13

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Solution

The fourth proportional to 918.65, 1,376.55 and 431.13 is: 646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.65 : 1,376.55 = 431.13 : x
  2. Step 2: Convert to fraction form
    918.65/1,376.55 = 431.13/x
  3. Step 3: Cross multiply
    918.65x = 1,376.55 × 431.13
  4. Step 4: Simplify right side
    918.65x = 593,466.84
  5. Step 5: Solve for x
    x = 593,466.84/918.65
  6. Step 6: Final answer
    x = 646.02

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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.