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Finding the Fourth Proportional to 962.65, 1,443.54 and 442.53

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Solution

The fourth proportional to 962.65, 1,443.54 and 442.53 is: 663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.65 : 1,443.54 = 442.53 : x
  2. Step 2: Convert to fraction form
    962.65/1,443.54 = 442.53/x
  3. Step 3: Cross multiply
    962.65x = 1,443.54 × 442.53
  4. Step 4: Simplify right side
    962.65x = 638,809.76
  5. Step 5: Solve for x
    x = 638,809.76/962.65
  6. Step 6: Final answer
    x = 663.60

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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.