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Finding the Fourth Proportional to 820.53, 1,130.55 and 558.09

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Solution

The fourth proportional to 820.53, 1,130.55 and 558.09 is: 768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.53 : 1,130.55 = 558.09 : x
  2. Step 2: Convert to fraction form
    820.53/1,130.55 = 558.09/x
  3. Step 3: Cross multiply
    820.53x = 1,130.55 × 558.09
  4. Step 4: Simplify right side
    820.53x = 630,948.65
  5. Step 5: Solve for x
    x = 630,948.65/820.53
  6. Step 6: Final answer
    x = 768.95

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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.