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Finding the Fourth Proportional to 570.50, 851.53 and 556.69

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Solution

The fourth proportional to 570.50, 851.53 and 556.69 is: 830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.50 : 851.53 = 556.69 : x
  2. Step 2: Convert to fraction form
    570.50/851.53 = 556.69/x
  3. Step 3: Cross multiply
    570.50x = 851.53 × 556.69
  4. Step 4: Simplify right side
    570.50x = 474,038.24
  5. Step 5: Solve for x
    x = 474,038.24/570.50
  6. Step 6: Final answer
    x = 830.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.