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Finding the Fourth Proportional to 706, 973.86 and 469.72

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Solution

The fourth proportional to 706, 973.86 and 469.72 is: 647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 973.86 = 469.72 : x
  2. Step 2: Convert to fraction form
    706/973.86 = 469.72/x
  3. Step 3: Cross multiply
    706x = 973.86 × 469.72
  4. Step 4: Simplify right side
    706x = 457,441.52
  5. Step 5: Solve for x
    x = 457,441.52/706
  6. Step 6: Final answer
    x = 647.93

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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.