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Finding the Fourth Proportional to 527.30, 785.68 and 469.82

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Solution

The fourth proportional to 527.30, 785.68 and 469.82 is: 700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.30 : 785.68 = 469.82 : x
  2. Step 2: Convert to fraction form
    527.30/785.68 = 469.82/x
  3. Step 3: Cross multiply
    527.30x = 785.68 × 469.82
  4. Step 4: Simplify right side
    527.30x = 369,128.18
  5. Step 5: Solve for x
    x = 369,128.18/527.30
  6. Step 6: Final answer
    x = 700.03

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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.