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Finding the Fourth Proportional to 595.04, 893.78 and 389.91

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Solution

The fourth proportional to 595.04, 893.78 and 389.91 is: 585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.04 : 893.78 = 389.91 : x
  2. Step 2: Convert to fraction form
    595.04/893.78 = 389.91/x
  3. Step 3: Cross multiply
    595.04x = 893.78 × 389.91
  4. Step 4: Simplify right side
    595.04x = 348,491.81
  5. Step 5: Solve for x
    x = 348,491.81/595.04
  6. Step 6: Final answer
    x = 585.66

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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.