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Finding the Fourth Proportional to 962.80, 1,440.54 and 530.26

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Solution

The fourth proportional to 962.80, 1,440.54 and 530.26 is: 793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.80 : 1,440.54 = 530.26 : x
  2. Step 2: Convert to fraction form
    962.80/1,440.54 = 530.26/x
  3. Step 3: Cross multiply
    962.80x = 1,440.54 × 530.26
  4. Step 4: Simplify right side
    962.80x = 763,860.74
  5. Step 5: Solve for x
    x = 763,860.74/962.80
  6. Step 6: Final answer
    x = 793.37

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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.