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Finding the Fourth Proportional to 740.02, 1,020.90 and 518.89

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Solution

The fourth proportional to 740.02, 1,020.90 and 518.89 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,020.90 = 518.89 : x
  2. Step 2: Convert to fraction form
    740.02/1,020.90 = 518.89/x
  3. Step 3: Cross multiply
    740.02x = 1,020.90 × 518.89
  4. Step 4: Simplify right side
    740.02x = 529,734.80
  5. Step 5: Solve for x
    x = 529,734.80/740.02
  6. Step 6: Final answer
    x = 715.84

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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.