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Finding the Fourth Proportional to 904.76, 1,357.89 and 411.90

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Solution

The fourth proportional to 904.76, 1,357.89 and 411.90 is: 618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.76 : 1,357.89 = 411.90 : x
  2. Step 2: Convert to fraction form
    904.76/1,357.89 = 411.90/x
  3. Step 3: Cross multiply
    904.76x = 1,357.89 × 411.90
  4. Step 4: Simplify right side
    904.76x = 559,314.89
  5. Step 5: Solve for x
    x = 559,314.89/904.76
  6. Step 6: Final answer
    x = 618.19

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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.