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Finding the Fourth Proportional to 756.07, 1,041.66 and 493.63

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Solution

The fourth proportional to 756.07, 1,041.66 and 493.63 is: 680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.07 : 1,041.66 = 493.63 : x
  2. Step 2: Convert to fraction form
    756.07/1,041.66 = 493.63/x
  3. Step 3: Cross multiply
    756.07x = 1,041.66 × 493.63
  4. Step 4: Simplify right side
    756.07x = 514,192.02
  5. Step 5: Solve for x
    x = 514,192.02/756.07
  6. Step 6: Final answer
    x = 680.09

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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.