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Finding the Fourth Proportional to 614.40, 914.40 and 585.60

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Solution

The fourth proportional to 614.40, 914.40 and 585.60 is: 871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 914.40 = 585.60 : x
  2. Step 2: Convert to fraction form
    614.40/914.40 = 585.60/x
  3. Step 3: Cross multiply
    614.40x = 914.40 × 585.60
  4. Step 4: Simplify right side
    614.40x = 535,472.64
  5. Step 5: Solve for x
    x = 535,472.64/614.40
  6. Step 6: Final answer
    x = 871.54

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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.