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Finding the Fourth Proportional to 610, 915 and 579.24

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Solution

The fourth proportional to 610, 915 and 579.24 is: 868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 915 = 579.24 : x
  2. Step 2: Convert to fraction form
    610/915 = 579.24/x
  3. Step 3: Cross multiply
    610x = 915 × 579.24
  4. Step 4: Simplify right side
    610x = 530,004.60
  5. Step 5: Solve for x
    x = 530,004.60/610
  6. Step 6: Final answer
    x = 868.86

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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.