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Finding the Fourth Proportional to 1,570.30, 2,358.15 and 841.30

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Solution

The fourth proportional to 1,570.30, 2,358.15 and 841.30 is: 1,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.30 : 2,358.15 = 841.30 : x
  2. Step 2: Convert to fraction form
    1,570.30/2,358.15 = 841.30/x
  3. Step 3: Cross multiply
    1,570.30x = 2,358.15 × 841.30
  4. Step 4: Simplify right side
    1,570.30x = 1,983,911.60
  5. Step 5: Solve for x
    x = 1,983,911.60/1,570.30
  6. Step 6: Final answer
    x = 1,263.40

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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.