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Finding the Fourth Proportional to 700.99, 1,051.56 and 392.69

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Solution

The fourth proportional to 700.99, 1,051.56 and 392.69 is: 589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.99 : 1,051.56 = 392.69 : x
  2. Step 2: Convert to fraction form
    700.99/1,051.56 = 392.69/x
  3. Step 3: Cross multiply
    700.99x = 1,051.56 × 392.69
  4. Step 4: Simplify right side
    700.99x = 412,937.10
  5. Step 5: Solve for x
    x = 412,937.10/700.99
  6. Step 6: Final answer
    x = 589.08

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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.