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Finding the Fourth Proportional to 585.60, 808.84 and 456.16

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Solution

The fourth proportional to 585.60, 808.84 and 456.16 is: 630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 808.84 = 456.16 : x
  2. Step 2: Convert to fraction form
    585.60/808.84 = 456.16/x
  3. Step 3: Cross multiply
    585.60x = 808.84 × 456.16
  4. Step 4: Simplify right side
    585.60x = 368,960.45
  5. Step 5: Solve for x
    x = 368,960.45/585.60
  6. Step 6: Final answer
    x = 630.06

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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.