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Finding the Fourth Proportional to 501.93, 691.20 and 428.22

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Solution

The fourth proportional to 501.93, 691.20 and 428.22 is: 589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.93 : 691.20 = 428.22 : x
  2. Step 2: Convert to fraction form
    501.93/691.20 = 428.22/x
  3. Step 3: Cross multiply
    501.93x = 691.20 × 428.22
  4. Step 4: Simplify right side
    501.93x = 295,985.66
  5. Step 5: Solve for x
    x = 295,985.66/501.93
  6. Step 6: Final answer
    x = 589.70

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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.