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Finding the Fourth Proportional to 706.12, 973.80 and 440.22

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Solution

The fourth proportional to 706.12, 973.80 and 440.22 is: 607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 973.80 = 440.22 : x
  2. Step 2: Convert to fraction form
    706.12/973.80 = 440.22/x
  3. Step 3: Cross multiply
    706.12x = 973.80 × 440.22
  4. Step 4: Simplify right side
    706.12x = 428,686.24
  5. Step 5: Solve for x
    x = 428,686.24/706.12
  6. Step 6: Final answer
    x = 607.10

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1.5x scale

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.