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Finding the Fourth Proportional to 1,235.32, 1,703.34 and 924.28

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Solution

The fourth proportional to 1,235.32, 1,703.34 and 924.28 is: 1,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.32 : 1,703.34 = 924.28 : x
  2. Step 2: Convert to fraction form
    1,235.32/1,703.34 = 924.28/x
  3. Step 3: Cross multiply
    1,235.32x = 1,703.34 × 924.28
  4. Step 4: Simplify right side
    1,235.32x = 1,574,363.10
  5. Step 5: Solve for x
    x = 1,574,363.10/1,235.32
  6. Step 6: Final answer
    x = 1,274.46

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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.