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Finding the Fourth Proportional to 612.56, 913.60 and 590.96

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Solution

The fourth proportional to 612.56, 913.60 and 590.96 is: 881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 913.60 = 590.96 : x
  2. Step 2: Convert to fraction form
    612.56/913.60 = 590.96/x
  3. Step 3: Cross multiply
    612.56x = 913.60 × 590.96
  4. Step 4: Simplify right side
    612.56x = 539,901.06
  5. Step 5: Solve for x
    x = 539,901.06/612.56
  6. Step 6: Final answer
    x = 881.38

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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.