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Finding the Fourth Proportional to 706.40, 973.74 and 473.12

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Solution

The fourth proportional to 706.40, 973.74 and 473.12 is: 652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.40 : 973.74 = 473.12 : x
  2. Step 2: Convert to fraction form
    706.40/973.74 = 473.12/x
  3. Step 3: Cross multiply
    706.40x = 973.74 × 473.12
  4. Step 4: Simplify right side
    706.40x = 460,695.87
  5. Step 5: Solve for x
    x = 460,695.87/706.40
  6. Step 6: Final answer
    x = 652.17

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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.