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Finding the Fourth Proportional to 570.04, 853.47 and 430.79

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Solution

The fourth proportional to 570.04, 853.47 and 430.79 is: 644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.04 : 853.47 = 430.79 : x
  2. Step 2: Convert to fraction form
    570.04/853.47 = 430.79/x
  3. Step 3: Cross multiply
    570.04x = 853.47 × 430.79
  4. Step 4: Simplify right side
    570.04x = 367,662.07
  5. Step 5: Solve for x
    x = 367,662.07/570.04
  6. Step 6: Final answer
    x = 644.98

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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.