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Finding the Fourth Proportional to 650.40, 897.40 and 429.36

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Solution

The fourth proportional to 650.40, 897.40 and 429.36 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 897.40 = 429.36 : x
  2. Step 2: Convert to fraction form
    650.40/897.40 = 429.36/x
  3. Step 3: Cross multiply
    650.40x = 897.40 × 429.36
  4. Step 4: Simplify right side
    650.40x = 385,307.66
  5. Step 5: Solve for x
    x = 385,307.66/650.40
  6. Step 6: Final answer
    x = 592.42

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1.5x scale

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.