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Finding the Fourth Proportional to 585.10, 807.06 and 352

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Solution

The fourth proportional to 585.10, 807.06 and 352 is: 485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.10 : 807.06 = 352 : x
  2. Step 2: Convert to fraction form
    585.10/807.06 = 352/x
  3. Step 3: Cross multiply
    585.10x = 807.06 × 352
  4. Step 4: Simplify right side
    585.10x = 284,085.12
  5. Step 5: Solve for x
    x = 284,085.12/585.10
  6. Step 6: Final answer
    x = 485.53

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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.