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Finding the Fourth Proportional to 595.87, 820.60 and 583.15

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Solution

The fourth proportional to 595.87, 820.60 and 583.15 is: 803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 820.60 = 583.15 : x
  2. Step 2: Convert to fraction form
    595.87/820.60 = 583.15/x
  3. Step 3: Cross multiply
    595.87x = 820.60 × 583.15
  4. Step 4: Simplify right side
    595.87x = 478,532.89
  5. Step 5: Solve for x
    x = 478,532.89/595.87
  6. Step 6: Final answer
    x = 803.08

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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.