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Finding the Fourth Proportional to 610.02, 912.87 and 424.02

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Solution

The fourth proportional to 610.02, 912.87 and 424.02 is: 634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 912.87 = 424.02 : x
  2. Step 2: Convert to fraction form
    610.02/912.87 = 424.02/x
  3. Step 3: Cross multiply
    610.02x = 912.87 × 424.02
  4. Step 4: Simplify right side
    610.02x = 387,075.14
  5. Step 5: Solve for x
    x = 387,075.14/610.02
  6. Step 6: Final answer
    x = 634.53

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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.