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Finding the Fourth Proportional to 570.33, 785.78 and 373.50

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Solution

The fourth proportional to 570.33, 785.78 and 373.50 is: 514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.33 : 785.78 = 373.50 : x
  2. Step 2: Convert to fraction form
    570.33/785.78 = 373.50/x
  3. Step 3: Cross multiply
    570.33x = 785.78 × 373.50
  4. Step 4: Simplify right side
    570.33x = 293,486.96
  5. Step 5: Solve for x
    x = 293,486.96/570.33
  6. Step 6: Final answer
    x = 514.59

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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.