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Finding the Fourth Proportional to 802.77, 1,197.14 and 714.27

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Solution

The fourth proportional to 802.77, 1,197.14 and 714.27 is: 1,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.77 : 1,197.14 = 714.27 : x
  2. Step 2: Convert to fraction form
    802.77/1,197.14 = 714.27/x
  3. Step 3: Cross multiply
    802.77x = 1,197.14 × 714.27
  4. Step 4: Simplify right side
    802.77x = 855,081.19
  5. Step 5: Solve for x
    x = 855,081.19/802.77
  6. Step 6: Final answer
    x = 1,065.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.