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Finding the Fourth Proportional to 603.19, 904.93 and 310.57

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Solution

The fourth proportional to 603.19, 904.93 and 310.57 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.19 : 904.93 = 310.57 : x
  2. Step 2: Convert to fraction form
    603.19/904.93 = 310.57/x
  3. Step 3: Cross multiply
    603.19x = 904.93 × 310.57
  4. Step 4: Simplify right side
    603.19x = 281,044.11
  5. Step 5: Solve for x
    x = 281,044.11/603.19
  6. Step 6: Final answer
    x = 465.93

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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.