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Finding the Fourth Proportional to 670.19, 923.49 and 570.29

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Solution

The fourth proportional to 670.19, 923.49 and 570.29 is: 785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.19 : 923.49 = 570.29 : x
  2. Step 2: Convert to fraction form
    670.19/923.49 = 570.29/x
  3. Step 3: Cross multiply
    670.19x = 923.49 × 570.29
  4. Step 4: Simplify right side
    670.19x = 526,652.49
  5. Step 5: Solve for x
    x = 526,652.49/670.19
  6. Step 6: Final answer
    x = 785.83

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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.