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Finding the Fourth Proportional to 760.92, 1,050.36 and 512.16

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Solution

The fourth proportional to 760.92, 1,050.36 and 512.16 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,050.36 = 512.16 : x
  2. Step 2: Convert to fraction form
    760.92/1,050.36 = 512.16/x
  3. Step 3: Cross multiply
    760.92x = 1,050.36 × 512.16
  4. Step 4: Simplify right side
    760.92x = 537,952.38
  5. Step 5: Solve for x
    x = 537,952.38/760.92
  6. Step 6: Final answer
    x = 706.98

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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.