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Finding the Fourth Proportional to 760.18, 1,050.69 and 701.86

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Solution

The fourth proportional to 760.18, 1,050.69 and 701.86 is: 970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.18 : 1,050.69 = 701.86 : x
  2. Step 2: Convert to fraction form
    760.18/1,050.69 = 701.86/x
  3. Step 3: Cross multiply
    760.18x = 1,050.69 × 701.86
  4. Step 4: Simplify right side
    760.18x = 737,437.28
  5. Step 5: Solve for x
    x = 737,437.28/760.18
  6. Step 6: Final answer
    x = 970.08

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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.