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Finding the Fourth Proportional to 738.99, 1,020.06 and 518.00

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Solution

The fourth proportional to 738.99, 1,020.06 and 518.00 is: 715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.99 : 1,020.06 = 518.00 : x
  2. Step 2: Convert to fraction form
    738.99/1,020.06 = 518.00/x
  3. Step 3: Cross multiply
    738.99x = 1,020.06 × 518.00
  4. Step 4: Simplify right side
    738.99x = 528,385.98
  5. Step 5: Solve for x
    x = 528,385.98/738.99
  6. Step 6: Final answer
    x = 715.01

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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.