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Finding the Fourth Proportional to 608.04, 907.62 and 535.14

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Solution

The fourth proportional to 608.04, 907.62 and 535.14 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.04 : 907.62 = 535.14 : x
  2. Step 2: Convert to fraction form
    608.04/907.62 = 535.14/x
  3. Step 3: Cross multiply
    608.04x = 907.62 × 535.14
  4. Step 4: Simplify right side
    608.04x = 485,703.77
  5. Step 5: Solve for x
    x = 485,703.77/608.04
  6. Step 6: Final answer
    x = 798.80

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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.