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Finding the Fourth Proportional to 956.57, 1,435.03 and 591.77

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Solution

The fourth proportional to 956.57, 1,435.03 and 591.77 is: 887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.57 : 1,435.03 = 591.77 : x
  2. Step 2: Convert to fraction form
    956.57/1,435.03 = 591.77/x
  3. Step 3: Cross multiply
    956.57x = 1,435.03 × 591.77
  4. Step 4: Simplify right side
    956.57x = 849,209.81
  5. Step 5: Solve for x
    x = 849,209.81/956.57
  6. Step 6: Final answer
    x = 887.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.