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Finding the Fourth Proportional to 1,230.42, 1,698.14 and 706.46

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Solution

The fourth proportional to 1,230.42, 1,698.14 and 706.46 is: 975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.42 : 1,698.14 = 706.46 : x
  2. Step 2: Convert to fraction form
    1,230.42/1,698.14 = 706.46/x
  3. Step 3: Cross multiply
    1,230.42x = 1,698.14 × 706.46
  4. Step 4: Simplify right side
    1,230.42x = 1,199,655.96
  5. Step 5: Solve for x
    x = 1,199,655.96/1,230.42
  6. Step 6: Final answer
    x = 975.00

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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.