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Finding the Fourth Proportional to 924.46, 1,386.98 and 376.94

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Solution

The fourth proportional to 924.46, 1,386.98 and 376.94 is: 565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.46 : 1,386.98 = 376.94 : x
  2. Step 2: Convert to fraction form
    924.46/1,386.98 = 376.94/x
  3. Step 3: Cross multiply
    924.46x = 1,386.98 × 376.94
  4. Step 4: Simplify right side
    924.46x = 522,808.24
  5. Step 5: Solve for x
    x = 522,808.24/924.46
  6. Step 6: Final answer
    x = 565.53

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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.