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Finding the Fourth Proportional to 613.79, 918.93 and 575

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Solution

The fourth proportional to 613.79, 918.93 and 575 is: 860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.79 : 918.93 = 575 : x
  2. Step 2: Convert to fraction form
    613.79/918.93 = 575/x
  3. Step 3: Cross multiply
    613.79x = 918.93 × 575
  4. Step 4: Simplify right side
    613.79x = 528,384.75
  5. Step 5: Solve for x
    x = 528,384.75/613.79
  6. Step 6: Final answer
    x = 860.86

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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.