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Finding the Fourth Proportional to 710.07, 978.84 and 499.56

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Solution

The fourth proportional to 710.07, 978.84 and 499.56 is: 688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.07 : 978.84 = 499.56 : x
  2. Step 2: Convert to fraction form
    710.07/978.84 = 499.56/x
  3. Step 3: Cross multiply
    710.07x = 978.84 × 499.56
  4. Step 4: Simplify right side
    710.07x = 488,989.31
  5. Step 5: Solve for x
    x = 488,989.31/710.07
  6. Step 6: Final answer
    x = 688.65

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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.