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Finding the Fourth Proportional to 647.71, 972.47 and 618.35

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Solution

The fourth proportional to 647.71, 972.47 and 618.35 is: 928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.71 : 972.47 = 618.35 : x
  2. Step 2: Convert to fraction form
    647.71/972.47 = 618.35/x
  3. Step 3: Cross multiply
    647.71x = 972.47 × 618.35
  4. Step 4: Simplify right side
    647.71x = 601,323.51
  5. Step 5: Solve for x
    x = 601,323.51/647.71
  6. Step 6: Final answer
    x = 928.39

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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.