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Finding the Fourth Proportional to 595.68, 893.40 and 566.42

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Solution

The fourth proportional to 595.68, 893.40 and 566.42 is: 849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 893.40 = 566.42 : x
  2. Step 2: Convert to fraction form
    595.68/893.40 = 566.42/x
  3. Step 3: Cross multiply
    595.68x = 893.40 × 566.42
  4. Step 4: Simplify right side
    595.68x = 506,039.63
  5. Step 5: Solve for x
    x = 506,039.63/595.68
  6. Step 6: Final answer
    x = 849.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.