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Finding the Fourth Proportional to 700.79, 1,053.20 and 458.82

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Solution

The fourth proportional to 700.79, 1,053.20 and 458.82 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.79 : 1,053.20 = 458.82 : x
  2. Step 2: Convert to fraction form
    700.79/1,053.20 = 458.82/x
  3. Step 3: Cross multiply
    700.79x = 1,053.20 × 458.82
  4. Step 4: Simplify right side
    700.79x = 483,230.37
  5. Step 5: Solve for x
    x = 483,230.37/700.79
  6. Step 6: Final answer
    x = 689.56

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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.