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Finding the Fourth Proportional to 653.66, 900.16 and 536.04

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Solution

The fourth proportional to 653.66, 900.16 and 536.04 is: 738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.66 : 900.16 = 536.04 : x
  2. Step 2: Convert to fraction form
    653.66/900.16 = 536.04/x
  3. Step 3: Cross multiply
    653.66x = 900.16 × 536.04
  4. Step 4: Simplify right side
    653.66x = 482,521.77
  5. Step 5: Solve for x
    x = 482,521.77/653.66
  6. Step 6: Final answer
    x = 738.18

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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.