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Finding the Fourth Proportional to 1,570.64, 2,356.11 and 530.69

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Solution

The fourth proportional to 1,570.64, 2,356.11 and 530.69 is: 796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.64 : 2,356.11 = 530.69 : x
  2. Step 2: Convert to fraction form
    1,570.64/2,356.11 = 530.69/x
  3. Step 3: Cross multiply
    1,570.64x = 2,356.11 × 530.69
  4. Step 4: Simplify right side
    1,570.64x = 1,250,352.24
  5. Step 5: Solve for x
    x = 1,250,352.24/1,570.64
  6. Step 6: Final answer
    x = 796.08

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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.