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Finding the Fourth Proportional to 602.56, 904.35 and 429.65

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Solution

The fourth proportional to 602.56, 904.35 and 429.65 is: 644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 904.35 = 429.65 : x
  2. Step 2: Convert to fraction form
    602.56/904.35 = 429.65/x
  3. Step 3: Cross multiply
    602.56x = 904.35 × 429.65
  4. Step 4: Simplify right side
    602.56x = 388,549.50
  5. Step 5: Solve for x
    x = 388,549.50/602.56
  6. Step 6: Final answer
    x = 644.84

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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.