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Finding the Fourth Proportional to 977.52, 1,347.50 and 802.56

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Solution

The fourth proportional to 977.52, 1,347.50 and 802.56 is: 1,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,347.50 = 802.56 : x
  2. Step 2: Convert to fraction form
    977.52/1,347.50 = 802.56/x
  3. Step 3: Cross multiply
    977.52x = 1,347.50 × 802.56
  4. Step 4: Simplify right side
    977.52x = 1,081,449.60
  5. Step 5: Solve for x
    x = 1,081,449.60/977.52
  6. Step 6: Final answer
    x = 1,106.32

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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.