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Finding the Fourth Proportional to 760.91, 1,050.29 and 466.13

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Solution

The fourth proportional to 760.91, 1,050.29 and 466.13 is: 643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.91 : 1,050.29 = 466.13 : x
  2. Step 2: Convert to fraction form
    760.91/1,050.29 = 466.13/x
  3. Step 3: Cross multiply
    760.91x = 1,050.29 × 466.13
  4. Step 4: Simplify right side
    760.91x = 489,564.10
  5. Step 5: Solve for x
    x = 489,564.10/760.91
  6. Step 6: Final answer
    x = 643.40

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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.