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Finding the Fourth Proportional to 522.05, 786.76 and 491.27

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Solution

The fourth proportional to 522.05, 786.76 and 491.27 is: 740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 786.76 = 491.27 : x
  2. Step 2: Convert to fraction form
    522.05/786.76 = 491.27/x
  3. Step 3: Cross multiply
    522.05x = 786.76 × 491.27
  4. Step 4: Simplify right side
    522.05x = 386,509.19
  5. Step 5: Solve for x
    x = 386,509.19/522.05
  6. Step 6: Final answer
    x = 740.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.