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Finding the Fourth Proportional to 820.29, 1,130.43 and 587.01

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Solution

The fourth proportional to 820.29, 1,130.43 and 587.01 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.29 : 1,130.43 = 587.01 : x
  2. Step 2: Convert to fraction form
    820.29/1,130.43 = 587.01/x
  3. Step 3: Cross multiply
    820.29x = 1,130.43 × 587.01
  4. Step 4: Simplify right side
    820.29x = 663,573.71
  5. Step 5: Solve for x
    x = 663,573.71/820.29
  6. Step 6: Final answer
    x = 808.95

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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.