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Finding the Fourth Proportional to 760.84, 1,049.82 and 429.28

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Solution

The fourth proportional to 760.84, 1,049.82 and 429.28 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.84 : 1,049.82 = 429.28 : x
  2. Step 2: Convert to fraction form
    760.84/1,049.82 = 429.28/x
  3. Step 3: Cross multiply
    760.84x = 1,049.82 × 429.28
  4. Step 4: Simplify right side
    760.84x = 450,666.73
  5. Step 5: Solve for x
    x = 450,666.73/760.84
  6. Step 6: Final answer
    x = 592.33

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1.5x scale

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.