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Finding the Fourth Proportional to 527.02, 787.49 and 363.40

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Solution

The fourth proportional to 527.02, 787.49 and 363.40 is: 543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.02 : 787.49 = 363.40 : x
  2. Step 2: Convert to fraction form
    527.02/787.49 = 363.40/x
  3. Step 3: Cross multiply
    527.02x = 787.49 × 363.40
  4. Step 4: Simplify right side
    527.02x = 286,173.87
  5. Step 5: Solve for x
    x = 286,173.87/527.02
  6. Step 6: Final answer
    x = 543.00

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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.