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Finding the Fourth Proportional to 525.01, 787.50 and 309.95

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Solution

The fourth proportional to 525.01, 787.50 and 309.95 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.01 : 787.50 = 309.95 : x
  2. Step 2: Convert to fraction form
    525.01/787.50 = 309.95/x
  3. Step 3: Cross multiply
    525.01x = 787.50 × 309.95
  4. Step 4: Simplify right side
    525.01x = 244,085.63
  5. Step 5: Solve for x
    x = 244,085.63/525.01
  6. Step 6: Final answer
    x = 464.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.