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Finding the Fourth Proportional to 553.16, 824.04 and 525.08

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Solution

The fourth proportional to 553.16, 824.04 and 525.08 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 824.04 = 525.08 : x
  2. Step 2: Convert to fraction form
    553.16/824.04 = 525.08/x
  3. Step 3: Cross multiply
    553.16x = 824.04 × 525.08
  4. Step 4: Simplify right side
    553.16x = 432,686.92
  5. Step 5: Solve for x
    x = 432,686.92/553.16
  6. Step 6: Final answer
    x = 782.21

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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.