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Finding the Fourth Proportional to 700.07, 1,048.74 and 425.48

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Solution

The fourth proportional to 700.07, 1,048.74 and 425.48 is: 637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.07 : 1,048.74 = 425.48 : x
  2. Step 2: Convert to fraction form
    700.07/1,048.74 = 425.48/x
  3. Step 3: Cross multiply
    700.07x = 1,048.74 × 425.48
  4. Step 4: Simplify right side
    700.07x = 446,214.99
  5. Step 5: Solve for x
    x = 446,214.99/700.07
  6. Step 6: Final answer
    x = 637.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.