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Finding the Fourth Proportional to 586.36, 808.68 and 436.78

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Solution

The fourth proportional to 586.36, 808.68 and 436.78 is: 602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.36 : 808.68 = 436.78 : x
  2. Step 2: Convert to fraction form
    586.36/808.68 = 436.78/x
  3. Step 3: Cross multiply
    586.36x = 808.68 × 436.78
  4. Step 4: Simplify right side
    586.36x = 353,215.25
  5. Step 5: Solve for x
    x = 353,215.25/586.36
  6. Step 6: Final answer
    x = 602.39

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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.