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Finding the Fourth Proportional to 1,030.47, 1,421.70 and 588.06

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Solution

The fourth proportional to 1,030.47, 1,421.70 and 588.06 is: 811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.47 : 1,421.70 = 588.06 : x
  2. Step 2: Convert to fraction form
    1,030.47/1,421.70 = 588.06/x
  3. Step 3: Cross multiply
    1,030.47x = 1,421.70 × 588.06
  4. Step 4: Simplify right side
    1,030.47x = 836,044.90
  5. Step 5: Solve for x
    x = 836,044.90/1,030.47
  6. Step 6: Final answer
    x = 811.32

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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.