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Finding the Fourth Proportional to 971.86, 1,341.20 and 529.77

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Solution

The fourth proportional to 971.86, 1,341.20 and 529.77 is: 731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.86 : 1,341.20 = 529.77 : x
  2. Step 2: Convert to fraction form
    971.86/1,341.20 = 529.77/x
  3. Step 3: Cross multiply
    971.86x = 1,341.20 × 529.77
  4. Step 4: Simplify right side
    971.86x = 710,524.88
  5. Step 5: Solve for x
    x = 710,524.88/971.86
  6. Step 6: Final answer
    x = 731.10

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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.