Home / 1,047.19-1,569.59-430.10

Finding the Fourth Proportional to 1,047.19, 1,569.59 and 430.10

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Solution

The fourth proportional to 1,047.19, 1,569.59 and 430.10 is: 644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.19 : 1,569.59 = 430.10 : x
  2. Step 2: Convert to fraction form
    1,047.19/1,569.59 = 430.10/x
  3. Step 3: Cross multiply
    1,047.19x = 1,569.59 × 430.10
  4. Step 4: Simplify right side
    1,047.19x = 675,080.66
  5. Step 5: Solve for x
    x = 675,080.66/1,047.19
  6. Step 6: Final answer
    x = 644.66

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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.