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Finding the Fourth Proportional to 570.45, 856.13 and 296.63

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Solution

The fourth proportional to 570.45, 856.13 and 296.63 is: 445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.45 : 856.13 = 296.63 : x
  2. Step 2: Convert to fraction form
    570.45/856.13 = 296.63/x
  3. Step 3: Cross multiply
    570.45x = 856.13 × 296.63
  4. Step 4: Simplify right side
    570.45x = 253,948.08
  5. Step 5: Solve for x
    x = 253,948.08/570.45
  6. Step 6: Final answer
    x = 445.17

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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.