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Finding the Fourth Proportional to 708.10, 977.10 and 424.50

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Solution

The fourth proportional to 708.10, 977.10 and 424.50 is: 585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.10 : 977.10 = 424.50 : x
  2. Step 2: Convert to fraction form
    708.10/977.10 = 424.50/x
  3. Step 3: Cross multiply
    708.10x = 977.10 × 424.50
  4. Step 4: Simplify right side
    708.10x = 414,773.69
  5. Step 5: Solve for x
    x = 414,773.69/708.10
  6. Step 6: Final answer
    x = 585.76

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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.