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Finding the Fourth Proportional to 935.36, 1,291.20 and 916.16

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Solution

The fourth proportional to 935.36, 1,291.20 and 916.16 is: 1,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.36 : 1,291.20 = 916.16 : x
  2. Step 2: Convert to fraction form
    935.36/1,291.20 = 916.16/x
  3. Step 3: Cross multiply
    935.36x = 1,291.20 × 916.16
  4. Step 4: Simplify right side
    935.36x = 1,182,945.79
  5. Step 5: Solve for x
    x = 1,182,945.79/935.36
  6. Step 6: Final answer
    x = 1,264.70

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1.5x scale

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.