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Finding the Fourth Proportional to 700.68, 1,051.20 and 428.52

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Solution

The fourth proportional to 700.68, 1,051.20 and 428.52 is: 642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.68 : 1,051.20 = 428.52 : x
  2. Step 2: Convert to fraction form
    700.68/1,051.20 = 428.52/x
  3. Step 3: Cross multiply
    700.68x = 1,051.20 × 428.52
  4. Step 4: Simplify right side
    700.68x = 450,460.22
  5. Step 5: Solve for x
    x = 450,460.22/700.68
  6. Step 6: Final answer
    x = 642.89

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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.