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Finding the Fourth Proportional to 662.40, 909.60 and 530.40

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Solution

The fourth proportional to 662.40, 909.60 and 530.40 is: 728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 909.60 = 530.40 : x
  2. Step 2: Convert to fraction form
    662.40/909.60 = 530.40/x
  3. Step 3: Cross multiply
    662.40x = 909.60 × 530.40
  4. Step 4: Simplify right side
    662.40x = 482,451.84
  5. Step 5: Solve for x
    x = 482,451.84/662.40
  6. Step 6: Final answer
    x = 728.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.