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Finding the Fourth Proportional to 660.58, 909.28 and 577.02

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Solution

The fourth proportional to 660.58, 909.28 and 577.02 is: 794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.58 : 909.28 = 577.02 : x
  2. Step 2: Convert to fraction form
    660.58/909.28 = 577.02/x
  3. Step 3: Cross multiply
    660.58x = 909.28 × 577.02
  4. Step 4: Simplify right side
    660.58x = 524,672.75
  5. Step 5: Solve for x
    x = 524,672.75/660.58
  6. Step 6: Final answer
    x = 794.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.