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Finding the Fourth Proportional to 945.60, 1,417.14 and 425.40

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Solution

The fourth proportional to 945.60, 1,417.14 and 425.40 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,417.14 = 425.40 : x
  2. Step 2: Convert to fraction form
    945.60/1,417.14 = 425.40/x
  3. Step 3: Cross multiply
    945.60x = 1,417.14 × 425.40
  4. Step 4: Simplify right side
    945.60x = 602,851.36
  5. Step 5: Solve for x
    x = 602,851.36/945.60
  6. Step 6: Final answer
    x = 637.53

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1.5x scale

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.