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Finding the Fourth Proportional to 971.60, 1,341.28 and 657.04

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Solution

The fourth proportional to 971.60, 1,341.28 and 657.04 is: 907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.60 : 1,341.28 = 657.04 : x
  2. Step 2: Convert to fraction form
    971.60/1,341.28 = 657.04/x
  3. Step 3: Cross multiply
    971.60x = 1,341.28 × 657.04
  4. Step 4: Simplify right side
    971.60x = 881,274.61
  5. Step 5: Solve for x
    x = 881,274.61/971.60
  6. Step 6: Final answer
    x = 907.03

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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.