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Finding the Fourth Proportional to 708.75, 977.67 and 499.10

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Solution

The fourth proportional to 708.75, 977.67 and 499.10 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 977.67 = 499.10 : x
  2. Step 2: Convert to fraction form
    708.75/977.67 = 499.10/x
  3. Step 3: Cross multiply
    708.75x = 977.67 × 499.10
  4. Step 4: Simplify right side
    708.75x = 487,950.21
  5. Step 5: Solve for x
    x = 487,950.21/708.75
  6. Step 6: Final answer
    x = 688.47

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1.5x scale

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.