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Finding the Fourth Proportional to 474.94, 714.94 and 430.30

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Solution

The fourth proportional to 474.94, 714.94 and 430.30 is: 647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 714.94 = 430.30 : x
  2. Step 2: Convert to fraction form
    474.94/714.94 = 430.30/x
  3. Step 3: Cross multiply
    474.94x = 714.94 × 430.30
  4. Step 4: Simplify right side
    474.94x = 307,638.68
  5. Step 5: Solve for x
    x = 307,638.68/474.94
  6. Step 6: Final answer
    x = 647.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.