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Finding the Fourth Proportional to 601.42, 830.54 and 469.01

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Solution

The fourth proportional to 601.42, 830.54 and 469.01 is: 647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.42 : 830.54 = 469.01 : x
  2. Step 2: Convert to fraction form
    601.42/830.54 = 469.01/x
  3. Step 3: Cross multiply
    601.42x = 830.54 × 469.01
  4. Step 4: Simplify right side
    601.42x = 389,525.07
  5. Step 5: Solve for x
    x = 389,525.07/601.42
  6. Step 6: Final answer
    x = 647.68

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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.