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Finding the Fourth Proportional to 588.25, 810.30 and 559.09

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Solution

The fourth proportional to 588.25, 810.30 and 559.09 is: 770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 810.30 = 559.09 : x
  2. Step 2: Convert to fraction form
    588.25/810.30 = 559.09/x
  3. Step 3: Cross multiply
    588.25x = 810.30 × 559.09
  4. Step 4: Simplify right side
    588.25x = 453,030.63
  5. Step 5: Solve for x
    x = 453,030.63/588.25
  6. Step 6: Final answer
    x = 770.13

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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.