Home / 1,030.34-1,421.88-588.40

Finding the Fourth Proportional to 1,030.34, 1,421.88 and 588.40

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Solution

The fourth proportional to 1,030.34, 1,421.88 and 588.40 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.34 : 1,421.88 = 588.40 : x
  2. Step 2: Convert to fraction form
    1,030.34/1,421.88 = 588.40/x
  3. Step 3: Cross multiply
    1,030.34x = 1,421.88 × 588.40
  4. Step 4: Simplify right side
    1,030.34x = 836,634.19
  5. Step 5: Solve for x
    x = 836,634.19/1,030.34
  6. Step 6: Final answer
    x = 812.00

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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.