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Finding the Fourth Proportional to 651.60, 981.79 and 538.57

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Solution

The fourth proportional to 651.60, 981.79 and 538.57 is: 811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 981.79 = 538.57 : x
  2. Step 2: Convert to fraction form
    651.60/981.79 = 538.57/x
  3. Step 3: Cross multiply
    651.60x = 981.79 × 538.57
  4. Step 4: Simplify right side
    651.60x = 528,762.64
  5. Step 5: Solve for x
    x = 528,762.64/651.60
  6. Step 6: Final answer
    x = 811.48

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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.