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Finding the Fourth Proportional to 1,030.12, 1,421.54 and 588.00

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Solution

The fourth proportional to 1,030.12, 1,421.54 and 588.00 is: 811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.12 : 1,421.54 = 588.00 : x
  2. Step 2: Convert to fraction form
    1,030.12/1,421.54 = 588.00/x
  3. Step 3: Cross multiply
    1,030.12x = 1,421.54 × 588.00
  4. Step 4: Simplify right side
    1,030.12x = 835,858.41
  5. Step 5: Solve for x
    x = 835,858.41/1,030.12
  6. Step 6: Final answer
    x = 811.42

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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.