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Finding the Fourth Proportional to 1,572.60, 2,358.09 and 647.99

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Solution

The fourth proportional to 1,572.60, 2,358.09 and 647.99 is: 971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.60 : 2,358.09 = 647.99 : x
  2. Step 2: Convert to fraction form
    1,572.60/2,358.09 = 647.99/x
  3. Step 3: Cross multiply
    1,572.60x = 2,358.09 × 647.99
  4. Step 4: Simplify right side
    1,572.60x = 1,528,003.71
  5. Step 5: Solve for x
    x = 1,528,003.71/1,572.60
  6. Step 6: Final answer
    x = 971.64

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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.