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Finding the Fourth Proportional to 760.25, 1,140.93 and 587.35

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Solution

The fourth proportional to 760.25, 1,140.93 and 587.35 is: 881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.25 : 1,140.93 = 587.35 : x
  2. Step 2: Convert to fraction form
    760.25/1,140.93 = 587.35/x
  3. Step 3: Cross multiply
    760.25x = 1,140.93 × 587.35
  4. Step 4: Simplify right side
    760.25x = 670,125.24
  5. Step 5: Solve for x
    x = 670,125.24/760.25
  6. Step 6: Final answer
    x = 881.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.