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Finding the Fourth Proportional to 525.78, 784.50 and 471.06

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Solution

The fourth proportional to 525.78, 784.50 and 471.06 is: 702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 784.50 = 471.06 : x
  2. Step 2: Convert to fraction form
    525.78/784.50 = 471.06/x
  3. Step 3: Cross multiply
    525.78x = 784.50 × 471.06
  4. Step 4: Simplify right side
    525.78x = 369,546.57
  5. Step 5: Solve for x
    x = 369,546.57/525.78
  6. Step 6: Final answer
    x = 702.85

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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.