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Finding the Fourth Proportional to 802.57, 1,107.79 and 508.01

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Solution

The fourth proportional to 802.57, 1,107.79 and 508.01 is: 701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.57 : 1,107.79 = 508.01 : x
  2. Step 2: Convert to fraction form
    802.57/1,107.79 = 508.01/x
  3. Step 3: Cross multiply
    802.57x = 1,107.79 × 508.01
  4. Step 4: Simplify right side
    802.57x = 562,768.40
  5. Step 5: Solve for x
    x = 562,768.40/802.57
  6. Step 6: Final answer
    x = 701.21

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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.