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Finding the Fourth Proportional to 924.65, 1,388.19 and 650.87

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Solution

The fourth proportional to 924.65, 1,388.19 and 650.87 is: 977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.65 : 1,388.19 = 650.87 : x
  2. Step 2: Convert to fraction form
    924.65/1,388.19 = 650.87/x
  3. Step 3: Cross multiply
    924.65x = 1,388.19 × 650.87
  4. Step 4: Simplify right side
    924.65x = 903,537.14
  5. Step 5: Solve for x
    x = 903,537.14/924.65
  6. Step 6: Final answer
    x = 977.16

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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.