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Finding the Fourth Proportional to 647.54, 970.77 and 525.50

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Solution

The fourth proportional to 647.54, 970.77 and 525.50 is: 787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.54 : 970.77 = 525.50 : x
  2. Step 2: Convert to fraction form
    647.54/970.77 = 525.50/x
  3. Step 3: Cross multiply
    647.54x = 970.77 × 525.50
  4. Step 4: Simplify right side
    647.54x = 510,139.64
  5. Step 5: Solve for x
    x = 510,139.64/647.54
  6. Step 6: Final answer
    x = 787.81

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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.