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Finding the Fourth Proportional to 603.65, 907.70 and 581.78

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Solution

The fourth proportional to 603.65, 907.70 and 581.78 is: 874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.65 : 907.70 = 581.78 : x
  2. Step 2: Convert to fraction form
    603.65/907.70 = 581.78/x
  3. Step 3: Cross multiply
    603.65x = 907.70 × 581.78
  4. Step 4: Simplify right side
    603.65x = 528,074.26
  5. Step 5: Solve for x
    x = 528,074.26/603.65
  6. Step 6: Final answer
    x = 874.81

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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.