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Finding the Fourth Proportional to 1,030.51, 1,421.72 and 657.51

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Solution

The fourth proportional to 1,030.51, 1,421.72 and 657.51 is: 907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.51 : 1,421.72 = 657.51 : x
  2. Step 2: Convert to fraction form
    1,030.51/1,421.72 = 657.51/x
  3. Step 3: Cross multiply
    1,030.51x = 1,421.72 × 657.51
  4. Step 4: Simplify right side
    1,030.51x = 934,784.72
  5. Step 5: Solve for x
    x = 934,784.72/1,030.51
  6. Step 6: Final answer
    x = 907.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.