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Finding the Fourth Proportional to 1,234.90, 1,703.46 and 710.83

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Solution

The fourth proportional to 1,234.90, 1,703.46 and 710.83 is: 980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.90 : 1,703.46 = 710.83 : x
  2. Step 2: Convert to fraction form
    1,234.90/1,703.46 = 710.83/x
  3. Step 3: Cross multiply
    1,234.90x = 1,703.46 × 710.83
  4. Step 4: Simplify right side
    1,234.90x = 1,210,870.47
  5. Step 5: Solve for x
    x = 1,210,870.47/1,234.90
  6. Step 6: Final answer
    x = 980.54

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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.