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Finding the Fourth Proportional to 590.25, 813.71 and 424.18

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Solution

The fourth proportional to 590.25, 813.71 and 424.18 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.25 : 813.71 = 424.18 : x
  2. Step 2: Convert to fraction form
    590.25/813.71 = 424.18/x
  3. Step 3: Cross multiply
    590.25x = 813.71 × 424.18
  4. Step 4: Simplify right side
    590.25x = 345,159.51
  5. Step 5: Solve for x
    x = 345,159.51/590.25
  6. Step 6: Final answer
    x = 584.77

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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.