Home / 1,029.93-1,421.40-587.98

Finding the Fourth Proportional to 1,029.93, 1,421.40 and 587.98

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Solution

The fourth proportional to 1,029.93, 1,421.40 and 587.98 is: 811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.93 : 1,421.40 = 587.98 : x
  2. Step 2: Convert to fraction form
    1,029.93/1,421.40 = 587.98/x
  3. Step 3: Cross multiply
    1,029.93x = 1,421.40 × 587.98
  4. Step 4: Simplify right side
    1,029.93x = 835,754.77
  5. Step 5: Solve for x
    x = 835,754.77/1,029.93
  6. Step 6: Final answer
    x = 811.47

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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.