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Finding the Fourth Proportional to 931.48, 1,397.72 and 411.84

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Solution

The fourth proportional to 931.48, 1,397.72 and 411.84 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.48 : 1,397.72 = 411.84 : x
  2. Step 2: Convert to fraction form
    931.48/1,397.72 = 411.84/x
  3. Step 3: Cross multiply
    931.48x = 1,397.72 × 411.84
  4. Step 4: Simplify right side
    931.48x = 575,639.65
  5. Step 5: Solve for x
    x = 575,639.65/931.48
  6. Step 6: Final answer
    x = 617.98

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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.