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Finding the Fourth Proportional to 760.04, 1,042.66 and 712.89

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Solution

The fourth proportional to 760.04, 1,042.66 and 712.89 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.04 : 1,042.66 = 712.89 : x
  2. Step 2: Convert to fraction form
    760.04/1,042.66 = 712.89/x
  3. Step 3: Cross multiply
    760.04x = 1,042.66 × 712.89
  4. Step 4: Simplify right side
    760.04x = 743,301.89
  5. Step 5: Solve for x
    x = 743,301.89/760.04
  6. Step 6: Final answer
    x = 977.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.