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Finding the Fourth Proportional to 760.86, 1,142.10 and 472.50

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Solution

The fourth proportional to 760.86, 1,142.10 and 472.50 is: 709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.86 : 1,142.10 = 472.50 : x
  2. Step 2: Convert to fraction form
    760.86/1,142.10 = 472.50/x
  3. Step 3: Cross multiply
    760.86x = 1,142.10 × 472.50
  4. Step 4: Simplify right side
    760.86x = 539,642.25
  5. Step 5: Solve for x
    x = 539,642.25/760.86
  6. Step 6: Final answer
    x = 709.25

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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.