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Finding the Fourth Proportional to 535, 802.74 and 390.52

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Solution

The fourth proportional to 535, 802.74 and 390.52 is: 585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 802.74 = 390.52 : x
  2. Step 2: Convert to fraction form
    535/802.74 = 390.52/x
  3. Step 3: Cross multiply
    535x = 802.74 × 390.52
  4. Step 4: Simplify right side
    535x = 313,486.02
  5. Step 5: Solve for x
    x = 313,486.02/535
  6. Step 6: Final answer
    x = 585.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.