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Finding the Fourth Proportional to 589.51, 813.38 and 392.89

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Solution

The fourth proportional to 589.51, 813.38 and 392.89 is: 542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.51 : 813.38 = 392.89 : x
  2. Step 2: Convert to fraction form
    589.51/813.38 = 392.89/x
  3. Step 3: Cross multiply
    589.51x = 813.38 × 392.89
  4. Step 4: Simplify right side
    589.51x = 319,566.90
  5. Step 5: Solve for x
    x = 319,566.90/589.51
  6. Step 6: Final answer
    x = 542.09

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1.5x scale

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.