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Finding the Fourth Proportional to 526.45, 785.86 and 488.46

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Solution

The fourth proportional to 526.45, 785.86 and 488.46 is: 729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.45 : 785.86 = 488.46 : x
  2. Step 2: Convert to fraction form
    526.45/785.86 = 488.46/x
  3. Step 3: Cross multiply
    526.45x = 785.86 × 488.46
  4. Step 4: Simplify right side
    526.45x = 383,861.18
  5. Step 5: Solve for x
    x = 383,861.18/526.45
  6. Step 6: Final answer
    x = 729.15

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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.