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Finding the Fourth Proportional to 590.39, 813.71 and 432.98

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Solution

The fourth proportional to 590.39, 813.71 and 432.98 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.39 : 813.71 = 432.98 : x
  2. Step 2: Convert to fraction form
    590.39/813.71 = 432.98/x
  3. Step 3: Cross multiply
    590.39x = 813.71 × 432.98
  4. Step 4: Simplify right side
    590.39x = 352,313.92
  5. Step 5: Solve for x
    x = 352,313.92/590.39
  6. Step 6: Final answer
    x = 596.75

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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.