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Finding the Fourth Proportional to 570.51, 856.27 and 296.79

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Solution

The fourth proportional to 570.51, 856.27 and 296.79 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.51 : 856.27 = 296.79 : x
  2. Step 2: Convert to fraction form
    570.51/856.27 = 296.79/x
  3. Step 3: Cross multiply
    570.51x = 856.27 × 296.79
  4. Step 4: Simplify right side
    570.51x = 254,132.37
  5. Step 5: Solve for x
    x = 254,132.37/570.51
  6. Step 6: Final answer
    x = 445.45

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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.