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Finding the Fourth Proportional to 614.43, 917.55 and 582.84

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Solution

The fourth proportional to 614.43, 917.55 and 582.84 is: 870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.43 : 917.55 = 582.84 : x
  2. Step 2: Convert to fraction form
    614.43/917.55 = 582.84/x
  3. Step 3: Cross multiply
    614.43x = 917.55 × 582.84
  4. Step 4: Simplify right side
    614.43x = 534,784.84
  5. Step 5: Solve for x
    x = 534,784.84/614.43
  6. Step 6: Final answer
    x = 870.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.