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Finding the Fourth Proportional to 647.79, 973.23 and 417.14

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Solution

The fourth proportional to 647.79, 973.23 and 417.14 is: 626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.79 : 973.23 = 417.14 : x
  2. Step 2: Convert to fraction form
    647.79/973.23 = 417.14/x
  3. Step 3: Cross multiply
    647.79x = 973.23 × 417.14
  4. Step 4: Simplify right side
    647.79x = 405,968.30
  5. Step 5: Solve for x
    x = 405,968.30/647.79
  6. Step 6: Final answer
    x = 626.70

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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.