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Finding the Fourth Proportional to 601.92, 904.50 and 584.10

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Solution

The fourth proportional to 601.92, 904.50 and 584.10 is: 877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 904.50 = 584.10 : x
  2. Step 2: Convert to fraction form
    601.92/904.50 = 584.10/x
  3. Step 3: Cross multiply
    601.92x = 904.50 × 584.10
  4. Step 4: Simplify right side
    601.92x = 528,318.45
  5. Step 5: Solve for x
    x = 528,318.45/601.92
  6. Step 6: Final answer
    x = 877.72

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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.