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Finding the Fourth Proportional to 572.51, 790.06 and 310.52

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Solution

The fourth proportional to 572.51, 790.06 and 310.52 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.51 : 790.06 = 310.52 : x
  2. Step 2: Convert to fraction form
    572.51/790.06 = 310.52/x
  3. Step 3: Cross multiply
    572.51x = 790.06 × 310.52
  4. Step 4: Simplify right side
    572.51x = 245,331.79
  5. Step 5: Solve for x
    x = 245,331.79/572.51
  6. Step 6: Final answer
    x = 428.52

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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.