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Finding the Fourth Proportional to 582.35, 802.08 and 434.75

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Solution

The fourth proportional to 582.35, 802.08 and 434.75 is: 598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.35 : 802.08 = 434.75 : x
  2. Step 2: Convert to fraction form
    582.35/802.08 = 434.75/x
  3. Step 3: Cross multiply
    582.35x = 802.08 × 434.75
  4. Step 4: Simplify right side
    582.35x = 348,700.27
  5. Step 5: Solve for x
    x = 348,700.27/582.35
  6. Step 6: Final answer
    x = 598.79

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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.