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Finding the Fourth Proportional to 709.95, 980.06 and 415.32

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Solution

The fourth proportional to 709.95, 980.06 and 415.32 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.95 : 980.06 = 415.32 : x
  2. Step 2: Convert to fraction form
    709.95/980.06 = 415.32/x
  3. Step 3: Cross multiply
    709.95x = 980.06 × 415.32
  4. Step 4: Simplify right side
    709.95x = 407,038.52
  5. Step 5: Solve for x
    x = 407,038.52/709.95
  6. Step 6: Final answer
    x = 573.33

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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.