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Finding the Fourth Proportional to 647.68, 894.52 and 502.06

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Solution

The fourth proportional to 647.68, 894.52 and 502.06 is: 693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 894.52 = 502.06 : x
  2. Step 2: Convert to fraction form
    647.68/894.52 = 502.06/x
  3. Step 3: Cross multiply
    647.68x = 894.52 × 502.06
  4. Step 4: Simplify right side
    647.68x = 449,102.71
  5. Step 5: Solve for x
    x = 449,102.71/647.68
  6. Step 6: Final answer
    x = 693.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.