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Finding the Fourth Proportional to 710.33, 978.23 and 609.96

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Solution

The fourth proportional to 710.33, 978.23 and 609.96 is: 840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.33 : 978.23 = 609.96 : x
  2. Step 2: Convert to fraction form
    710.33/978.23 = 609.96/x
  3. Step 3: Cross multiply
    710.33x = 978.23 × 609.96
  4. Step 4: Simplify right side
    710.33x = 596,682.70
  5. Step 5: Solve for x
    x = 596,682.70/710.33
  6. Step 6: Final answer
    x = 840.00

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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.