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Finding the Fourth Proportional to 1,526.40, 2,289.04 and 648.96

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Solution

The fourth proportional to 1,526.40, 2,289.04 and 648.96 is: 973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.40 : 2,289.04 = 648.96 : x
  2. Step 2: Convert to fraction form
    1,526.40/2,289.04 = 648.96/x
  3. Step 3: Cross multiply
    1,526.40x = 2,289.04 × 648.96
  4. Step 4: Simplify right side
    1,526.40x = 1,485,495.40
  5. Step 5: Solve for x
    x = 1,485,495.40/1,526.40
  6. Step 6: Final answer
    x = 973.20

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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.