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Finding the Fourth Proportional to 570.48, 786.60 and 500.28

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Solution

The fourth proportional to 570.48, 786.60 and 500.28 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 786.60 = 500.28 : x
  2. Step 2: Convert to fraction form
    570.48/786.60 = 500.28/x
  3. Step 3: Cross multiply
    570.48x = 786.60 × 500.28
  4. Step 4: Simplify right side
    570.48x = 393,520.25
  5. Step 5: Solve for x
    x = 393,520.25/570.48
  6. Step 6: Final answer
    x = 689.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.