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Finding the Fourth Proportional to 526.41, 785.45 and 523.35

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Solution

The fourth proportional to 526.41, 785.45 and 523.35 is: 780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.41 : 785.45 = 523.35 : x
  2. Step 2: Convert to fraction form
    526.41/785.45 = 523.35/x
  3. Step 3: Cross multiply
    526.41x = 785.45 × 523.35
  4. Step 4: Simplify right side
    526.41x = 411,066.57
  5. Step 5: Solve for x
    x = 411,066.57/526.41
  6. Step 6: Final answer
    x = 780.89

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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.