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Finding the Fourth Proportional to 614.40, 917.76 and 611.52

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Solution

The fourth proportional to 614.40, 917.76 and 611.52 is: 913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 917.76 = 611.52 : x
  2. Step 2: Convert to fraction form
    614.40/917.76 = 611.52/x
  3. Step 3: Cross multiply
    614.40x = 917.76 × 611.52
  4. Step 4: Simplify right side
    614.40x = 561,228.60
  5. Step 5: Solve for x
    x = 561,228.60/614.40
  6. Step 6: Final answer
    x = 913.46

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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.