Home / 1,030.23-1,421.77-588.22

Finding the Fourth Proportional to 1,030.23, 1,421.77 and 588.22

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Solution

The fourth proportional to 1,030.23, 1,421.77 and 588.22 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.23 : 1,421.77 = 588.22 : x
  2. Step 2: Convert to fraction form
    1,030.23/1,421.77 = 588.22/x
  3. Step 3: Cross multiply
    1,030.23x = 1,421.77 × 588.22
  4. Step 4: Simplify right side
    1,030.23x = 836,303.50
  5. Step 5: Solve for x
    x = 836,303.50/1,030.23
  6. Step 6: Final answer
    x = 811.77

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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.