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Finding the Fourth Proportional to 590.84, 815.94 and 501.50

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Solution

The fourth proportional to 590.84, 815.94 and 501.50 is: 692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.84 : 815.94 = 501.50 : x
  2. Step 2: Convert to fraction form
    590.84/815.94 = 501.50/x
  3. Step 3: Cross multiply
    590.84x = 815.94 × 501.50
  4. Step 4: Simplify right side
    590.84x = 409,193.91
  5. Step 5: Solve for x
    x = 409,193.91/590.84
  6. Step 6: Final answer
    x = 692.56

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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.