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Finding the Fourth Proportional to 526.16, 783.23 and 518.37

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Solution

The fourth proportional to 526.16, 783.23 and 518.37 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 783.23 = 518.37 : x
  2. Step 2: Convert to fraction form
    526.16/783.23 = 518.37/x
  3. Step 3: Cross multiply
    526.16x = 783.23 × 518.37
  4. Step 4: Simplify right side
    526.16x = 406,000.34
  5. Step 5: Solve for x
    x = 406,000.34/526.16
  6. Step 6: Final answer
    x = 771.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.