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Finding the Fourth Proportional to 1,406.74, 2,111.16 and 530.10

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Solution

The fourth proportional to 1,406.74, 2,111.16 and 530.10 is: 795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.74 : 2,111.16 = 530.10 : x
  2. Step 2: Convert to fraction form
    1,406.74/2,111.16 = 530.10/x
  3. Step 3: Cross multiply
    1,406.74x = 2,111.16 × 530.10
  4. Step 4: Simplify right side
    1,406.74x = 1,119,125.92
  5. Step 5: Solve for x
    x = 1,119,125.92/1,406.74
  6. Step 6: Final answer
    x = 795.55

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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.