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Finding the Fourth Proportional to 815, 1,222.50 and 473

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Solution

The fourth proportional to 815, 1,222.50 and 473 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    815 : 1,222.50 = 473 : x
  2. Step 2: Convert to fraction form
    815/1,222.50 = 473/x
  3. Step 3: Cross multiply
    815x = 1,222.50 × 473
  4. Step 4: Simplify right side
    815x = 578,242.50
  5. Step 5: Solve for x
    x = 578,242.50/815
  6. Step 6: Final answer
    x = 709.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.