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Finding the Fourth Proportional to 740.02, 1,021.05 and 477.99

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Solution

The fourth proportional to 740.02, 1,021.05 and 477.99 is: 659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,021.05 = 477.99 : x
  2. Step 2: Convert to fraction form
    740.02/1,021.05 = 477.99/x
  3. Step 3: Cross multiply
    740.02x = 1,021.05 × 477.99
  4. Step 4: Simplify right side
    740.02x = 488,051.69
  5. Step 5: Solve for x
    x = 488,051.69/740.02
  6. Step 6: Final answer
    x = 659.51

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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.