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Finding the Fourth Proportional to 497.55, 742.14 and 482.16

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Solution

The fourth proportional to 497.55, 742.14 and 482.16 is: 719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.55 : 742.14 = 482.16 : x
  2. Step 2: Convert to fraction form
    497.55/742.14 = 482.16/x
  3. Step 3: Cross multiply
    497.55x = 742.14 × 482.16
  4. Step 4: Simplify right side
    497.55x = 357,830.22
  5. Step 5: Solve for x
    x = 357,830.22/497.55
  6. Step 6: Final answer
    x = 719.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.