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Finding the Fourth Proportional to 570.76, 856.51 and 524.29

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Solution

The fourth proportional to 570.76, 856.51 and 524.29 is: 786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 856.51 = 524.29 : x
  2. Step 2: Convert to fraction form
    570.76/856.51 = 524.29/x
  3. Step 3: Cross multiply
    570.76x = 856.51 × 524.29
  4. Step 4: Simplify right side
    570.76x = 449,055.35
  5. Step 5: Solve for x
    x = 449,055.35/570.76
  6. Step 6: Final answer
    x = 786.77

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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.