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Finding the Fourth Proportional to 585.90, 808.86 and 428.38

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Solution

The fourth proportional to 585.90, 808.86 and 428.38 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 808.86 = 428.38 : x
  2. Step 2: Convert to fraction form
    585.90/808.86 = 428.38/x
  3. Step 3: Cross multiply
    585.90x = 808.86 × 428.38
  4. Step 4: Simplify right side
    585.90x = 346,499.45
  5. Step 5: Solve for x
    x = 346,499.45/585.90
  6. Step 6: Final answer
    x = 591.40

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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.