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Finding the Fourth Proportional to 904.41, 1,357.82 and 579.93

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Solution

The fourth proportional to 904.41, 1,357.82 and 579.93 is: 870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.41 : 1,357.82 = 579.93 : x
  2. Step 2: Convert to fraction form
    904.41/1,357.82 = 579.93/x
  3. Step 3: Cross multiply
    904.41x = 1,357.82 × 579.93
  4. Step 4: Simplify right side
    904.41x = 787,437.65
  5. Step 5: Solve for x
    x = 787,437.65/904.41
  6. Step 6: Final answer
    x = 870.66

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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.