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Finding the Fourth Proportional to 522.36, 779.76 and 473.76

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Solution

The fourth proportional to 522.36, 779.76 and 473.76 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 779.76 = 473.76 : x
  2. Step 2: Convert to fraction form
    522.36/779.76 = 473.76/x
  3. Step 3: Cross multiply
    522.36x = 779.76 × 473.76
  4. Step 4: Simplify right side
    522.36x = 369,419.10
  5. Step 5: Solve for x
    x = 369,419.10/522.36
  6. Step 6: Final answer
    x = 707.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.