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Finding the Fourth Proportional to 603.40, 904.87 and 256.52

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Solution

The fourth proportional to 603.40, 904.87 and 256.52 is: 384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 904.87 = 256.52 : x
  2. Step 2: Convert to fraction form
    603.40/904.87 = 256.52/x
  3. Step 3: Cross multiply
    603.40x = 904.87 × 256.52
  4. Step 4: Simplify right side
    603.40x = 232,114.75
  5. Step 5: Solve for x
    x = 232,114.75/603.40
  6. Step 6: Final answer
    x = 384.68

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