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Finding the Fourth Proportional to 820.34, 1,130.85 and 623.51

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Solution

The fourth proportional to 820.34, 1,130.85 and 623.51 is: 859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.34 : 1,130.85 = 623.51 : x
  2. Step 2: Convert to fraction form
    820.34/1,130.85 = 623.51/x
  3. Step 3: Cross multiply
    820.34x = 1,130.85 × 623.51
  4. Step 4: Simplify right side
    820.34x = 705,090.63
  5. Step 5: Solve for x
    x = 705,090.63/820.34
  6. Step 6: Final answer
    x = 859.52

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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.